Special Issue: Current Developments in Pure and Applied Mathematics “Dedicated to Professor Yilmaz SIMSEK on the occasion of his 60th anniversary”;

A special issue of Montes Taurus Journal of Pure and Applied Mathematics (ISSN 2687-4814).

This special issue has been published in collaboration with “The 13th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP 2023) held at Sherwood Exclusive Lara Hotel in Antalya, TURKEY on March 11–13, 2023“. However, for this special issue, our journal welcomed submissions from not only participants of the symposium GFSNP 2023, but also other authors who wish to contribute to this special issue, and as a result of referee evaluation, successful submissions have also been published in this special issue.

Special Issue Editors

Prof. Dr. Abdelmejid Bayad Website
Email: abayad@maths.univ-evry.fr
Special Issue Editor
Université Paris Saclay, Université d’Évry,
LaMME, Evry Cedex, France

Prof. Dr. Mustafa Alkan Website
Email: alkan@akdeniz.edu.tr
Special Issue Editor
Akdeniz University, Turkey

Assoc. Prof. Dr. Irem Kucukoglu Website
Email: irem.kucukoglu@alanya.edu.tr
Special Issue Editor
Alanya Alaaddin Keykubat University, Turkey

Assoc. Prof. Dr. Ortaç Öneş Website
Email: ortacns@akdeniz.edu.tr
Special Issue Editor
Akdeniz University, Turkey


Volume 6 / Issue 3 / Year 2024 (Special Issue)

Cover Page and Contents Page

Foreword written by Professor Yilmaz Simsek



  1. TITLE: Special Issue: Current Developments in Pure and Applied Mathematics “Dedicated to Professor Yilmaz SIMSEK on the occasion of his 60th anniversary”
    AUTHOR(S): ABDELMEJID BAYAD, MUSTAFA ALKAN, IREM KUCUKOGLU, ORTAÇ ÖNEŞ
    Montes Taurus J. Pure Appl. Math. 6 (3), i-xiii, 2024
    Article ID: MTJPAM-D-24-000YS
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  1. TITLE: TRUNCATION ERROR UPPER BOUNDS IN DERIVATIVE WHITTAKER-TYPE PLANE SAMPLING RECONSTRUCTION
    AUTHOR(S): TIBOR K. POGÁNY
    Montes Taurus J. Pure Appl. Math. 6 (3), 1-10, 2024
    Article ID: MTJPAM-D-23-00004
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  1. TITLE: SURVEY ON BAIRE-TYPE PROPERTIES IN METRIZABLE c0(Ω, X)
    AUTHOR(S): SALVADOR LÓPEZ-ALFONSO, MANUEL LÓPEZ-PELLICER and SANTIAGO MOLL-LÓPEZ
    Montes Taurus J. Pure Appl. Math. 6 (3), 11-15, 2024
    Article ID: MTJPAM-D-23-00005
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  1. TITLE: STUDY ON THE DEGENERATE HIGHER-ORDER NEW FUBINI-TYPE NUMBERS AND POLYNOMIALS
    AUTHOR(S): HYE KYUNG KIM
    Montes Taurus J. Pure Appl. Math. 6 (3), 16-33, 2024
    Article ID: MTJPAM-D-23-00006
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  1. TITLE: MULTILINEAR MULTIPLIERS OF FUNCTION SPACES WITH WAVELET TRANSFORM IN LORENTZ SPACES
    AUTHOR(S): İREM ADIYAMAN and ÖZNUR KULAK
    Montes Taurus J. Pure Appl. Math. 6 (3), 34-47, 2024
    Article ID: MTJPAM-D-23-00009
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  1. TITLE: A GENERAL FAMILY OF HYBRID-TYPE FRACTIONAL-ORDER KINETIC EQUATIONS INVOLVING THE LIOUVILLE-CAPUTO FRACTIONAL DERIVATIVE
    AUTHOR(S): HARI MOHAN SRIVASTAVA
    Montes Taurus J. Pure Appl. Math. 6 (3), 48-61, 2024
    Article ID: MTJPAM-D-23-00033
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  1. TITLE: HARDY-TYPE INEQUALITIES GENERALIZED VIA MONTGOMERY IDENTITY
    AUTHOR(S): KRISTINA KRULIĆ HIMMELREICH, JOSIP PEČARIĆ, DORA POKAZ and MARJAN PRALJAK
    Montes Taurus J. Pure Appl. Math. 6 (3), 62-71, 2024
    Article ID: MTJPAM-D-23-00022
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  1. TITLE: ON THE 2-DISSECTION AND 4-DISSECTION FOR RAMANUJAN-SELBERG CONTINUED FRACTION AND ITS RECIPROCAL
    AUTHOR(S): ZE-QIAN LUO and QIU-MING LUO
    Montes Taurus J. Pure Appl. Math. 6 (3), 72-82, 2024
    Article ID: MTJPAM-D-23-00034
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  1. TITLE: A SYMMETRIC EXPANSION OF AN ANALYTICAL FUNCTION IN TERMS OF QUADRATIC FUNCTIONS INVOLVING THE FRACTIONAL DERIVATIVE AND SOME APPLICATIONS TO SPECIAL FUNCTIONS
    AUTHOR(S): RICHARD TREMBLAY
    Montes Taurus J. Pure Appl. Math. 6 (3), 83-106, 2024
    Article ID: MTJPAM-D-23-00046
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  1. TITLE: ABOUT ON DISTINGUISHED CHAINS
    AUTHOR(S): BURCU ÖZTÜRK and FİGEN ÖKE
    Montes Taurus J. Pure Appl. Math. 6 (3), 107-110, 2024
    Article ID: MTJPAM-D-23-00019
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  1. TITLE: EXPONENTIALLY GENERAL HARMONIC VARIATIONAL INEQUALITIES
    AUTHOR(S): MUHAMMAD ASLAM NOOR, KHALIDA INAYAT NOOR and MUHAMMAD UZAIR AWAN
    Montes Taurus J. Pure Appl. Math. 6 (3), 110-118, 2024
    Article ID: MTJPAM-D-23-00043
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  1. TITLE: HIGHER ORDER COMPLEX SZÁSZ-KANTOROVICH OPERATORS
    AUTHOR(S): MUSTAFA KARA and NAZIM IDRISOGLU MAHMUDOV
    Montes Taurus J. Pure Appl. Math. 6 (3), 119-130, 2024
    Article ID: MTJPAM-D-23-00040
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  1. TITLE: MATHEMATICAL INEQUALITIES FOR NOVEL GENERALIZED ATOM-BOND CONNECTIVITY RELATED DESCRIPTORS
    AUTHOR(S): BHEEMANNA SARVESHKUMAR, BASAVARAJU CHALUVARAJU and VEERABHADRAIAH LOKESHA
    Montes Taurus J. Pure Appl. Math. 6 (3), 131-145, 2024
    Article ID: MTJPAM-D-23-00012
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  1. TITLE: ON k-FIBONACCI GRAPHS
    AUTHOR(S): NİHAT AKGÜNEŞ, GÜRCİ BEYAZIT BARDAKÇI and YAŞAR NACAROĞLU
    Montes Taurus J. Pure Appl. Math. 6 (3), 146-159, 2024
    Article ID: MTJPAM-D-23-00055
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  1. TITLE: STUDY ON THE r-ASSOCIATED λ-LAH NUMBERS AND λ-STIRLING NUMBERS
    AUTHOR(S): HYE KYUNG KIM, TAEKYUN KIM, WONJOO KIM and SI HYEON LEE
    Montes Taurus J. Pure Appl. Math. 6 (3), 160-168, 2024
    Article ID: MTJPAM-D-23-00049
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  1. TITLE: INVERSE DIVISOR FUNCTIONS USING DIRICHLET CONVOLUTION
    AUTHOR(S): SU YEON KONG and DAEYEOUL KIM
    Montes Taurus J. Pure Appl. Math. 6 (3), 169-185, 2024
    Article ID: MTJPAM-D-23-00042
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  1. TITLE: BUILDING GENERATING FUNCTIONS FOR DEGENERATE SIMSEK-TYPE NUMBERS AND POLYNOMIALS OF HIGHER ORDER
    AUTHOR(S): NESLIHAN KILAR
    Montes Taurus J. Pure Appl. Math. 6 (3), 186-198, 2024
    Article ID: MTJPAM-D-23-00014
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  1. TITLE: HARMONIC MEAN INEQUALITIES FOR GENERALIZED HYPERBOLIC FUNCTIONS
    AUTHOR(S): WEN-HUI LI and FENG QI
    Montes Taurus J. Pure Appl. Math. 6 (3), 199-207, 2024
    Article ID: MTJPAM-D-23-00053
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  1. TITLE: GENERATING RELATIONS ASSOCIATED WITH THE EXTENDED BIVARIATE SRIVASTAVA TYPE POLYNOMIALS
    AUTHOR(S): TALHA USMAN, NABIULLAH KHAN, MOHD AMAN and JUNESANG CHOI
    Montes Taurus J. Pure Appl. Math. 6 (3), 208-216, 2024
    Article ID: MTJPAM-D-24-00056
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  1. TITLE: GENERATING FUNCTIONS FOR MULTIPARAMETRIC HERMITE-BASED PETERS-TYPE SIMSEK NUMBERS AND POLYNOMIALS IN SEVERAL VARIABLES
    AUTHOR(S): IREM KUCUKOGLU
    Montes Taurus J. Pure Appl. Math. 6 (3), 217-238, 2024
    Article ID: MTJPAM-D-23-00027
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  1. TITLE: QSPR ANALYSIS OF ANTIPARKINSON’S DRUGS WITH DEGREE BASED TOPOLOGICAL INDICES
    AUTHOR(S): KALPANA RAMESH, SHOBANA LOGANATHAN and ISMAIL NACI CANGUL
    Montes Taurus J. Pure Appl. Math. 6 (3), 239-254, 2024
    Article ID: MTJPAM-D-23-00038
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  1. TITLE: ORTHOGONAL POLYNOMIALS AND GAUSS QUADRATURES ASSOCIATED WITH ONE INTEGRAL OF THE RAMANUJAN TYPE
    AUTHOR(S): GRADIMIR V. MILOVANOVIĆ
    Montes Taurus J. Pure Appl. Math. 6 (3), 255-268, 2024
    Article ID: MTJPAM-D-24-00079
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  1. TITLE: ON COLOR PALINDROME COMPOSITIONS
    AUTHOR(S): BUSRA AL and MUSTAFA ALKAN
    Montes Taurus J. Pure Appl. Math. 6 (3), 269-283, 2024
    Article ID: MTJPAM-D-24-00007
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  1. TITLE: A STUDY OF RESTRICTED DIVISOR FUNCTIONS WITH COPRIME CONDITIONS
    AUTHOR(S): NAZLI YILDIZ IKIKARDES and DAEYEOUL KIM
    Montes Taurus J. Pure Appl. Math. 6 (3), 284-298, 2024
    Article ID: MTJPAM-D-24-00089
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  1. TITLE: THE EFFECTS OF INCOME DISTRIBUTION ON AGGREGATE DEMAND IN TÜRKİYE
    AUTHOR(S): HATICE USTUNDAG TUNCA and SAYIM ISIK
    Montes Taurus J. Pure Appl. Math. 6 (3), 299-312, 2024
    Article ID: MTJPAM-D-24-00179
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  1. TITLE: SOLVABILITY OF A COMPLEX PAINLEVÉ DIFFERENTIAL EQUATION USING JULIA FRACTAL
    AUTHOR(S): RABHA WAELL IBRAHIM
    Montes Taurus J. Pure Appl. Math. 6 (3), 313-329, 2024
    Article ID: MTJPAM-D-23-00045
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  1. TITLE: RESULTS CONCERNING GENERALIZED GAMMA AND BETA FUNCTIONS AND ITS APPLICATION
    AUTHOR(S): NABIULLAH KHAN, RAKIBUL SK and TALHA USMAN
    Montes Taurus J. Pure Appl. Math. 6 (3), 330-338, 2024
    Article ID: MTJPAM-D-24-00035
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  1. TITLE: AN INVESTIGATION ON A CERTAIN TYPE OF PSI-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
    AUTHOR(S): MOHAMMED DAHMANE and MOHAMMED DERHAB
    Montes Taurus J. Pure Appl. Math. 6 (3), 339-349, 2024
    Article ID: MTJPAM-D-24-00053
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  1. TITLE: MATHEMATICAL MODEL OF ALZHEIMER’S DISEASE USING FRACTIONAL DERIVATIVES
    AUTHOR(S): SONAL JAIN and ABDALLAH RABABAH
    Montes Taurus J. Pure Appl. Math. 6 (3), 350-362, 2024
    Article ID: MTJPAM-D-23-00008
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  1. TITLE: SOME IDENTITIES FOR HARMONIC NUMBERS BASED ON COMPOSITION OF GENERATING FUNCTIONS
    AUTHOR(S): VLADIMIR KRUCHININ, DMITRY KRUCHININ and YURIY SHABLYA
    Montes Taurus J. Pure Appl. Math. 6 (3), 363-374, 2024
    Article ID: MTJPAM-D-24-00045
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  1. TITLE: NEW CUSA-HUYGENS INEQUALITIES AND APPROXIMATIONS
    AUTHOR(S): BRANKO MALEŠEVIĆ, MILOŠ MIĆOVIĆ and DIMITRIJE JOVANOVIĆ
    Montes Taurus J. Pure Appl. Math. 6 (3), 375-386, 2024
    Article ID: MTJPAM-D-24-00221
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  1. TITLE: ON SOME INEQUALITIES FOR MEANS INVOLVING THE POLYGAMMA FUNCTIONS
    AUTHOR(S): KWARA NANTOMAH
    Montes Taurus J. Pure Appl. Math. 6 (3), 387-393, 2024
    Article ID: MTJPAM-D-24-00037
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  1. TITLE: STATISTICAL INFERENCE FOR FIRST PASSAGE TIMES OF THE FELLER-CIR MODEL
    AUTHOR(S): BOWEN YI and SATISH IYENGAR
    Montes Taurus J. Pure Appl. Math. 6 (3), 394-407, 2024
    Article ID: MTJPAM-D-24-00209
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  1. TITLE: CLASSIFICATION AND SOLUTION METHODS FOR SCHLÖMILCH-TYPE INTEGRAL EQUATIONS
    AUTHOR(S): AHMET ALTÜRK
    Montes Taurus J. Pure Appl. Math. 6 (3), 408-417, 2024
    Article ID: MTJPAM-D-24-00207
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  1. TITLE: SOME PROPERTIES OF THE NOVEL TOPOLOGICAL GRAPH INDEX ATOM-BOND SUM-CONNECTIVITY INDEX
    AUTHOR(S): GOWTHAM KALKERE JAYANNA, NARAHARI NARASIMHA SWAMY, BADEKARA SOORYANARAYANA and ISMAIL NACI CANGUL
    Montes Taurus J. Pure Appl. Math. 6 (3), 418-427, 2024
    Article ID: MTJPAM-D-24-00057
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  1. TITLE: A SURVEY ON LINEAR RECURRENT SEQUENCES ASSOCIATED WITH ARITHMETIC TRIANGLES
    AUTHOR(S): NASSIMA BELAGGOUN and HACENE BELBACHIR
    Montes Taurus J. Pure Appl. Math. 6 (3), 428-462, 2024
    Article ID: MTJPAM-D-24-00208
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  1. TITLE: HARDY SPACES OF MONOGENIC AND DISCRETE MONOGENIC FUNCTIONS REVISITED ON OCTONIONIC HALF-SPACE
    AUTHOR(S): ROLF SOREN KRAUßHAR, ANASTASIIA LEGATIUK and DMITRII LEGATIUK
    Montes Taurus J. Pure Appl. Math. 6 (3), 463-473, 2024
    Article ID: MTJPAM-D-24-00167
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  1. TITLE: SOME FIXED POINT THEOREMS FOR A CLASS OF CONTRACTIVE MAPPINGS OVER A COMPLETE B-MULTIPLICATIVE METRIC SPACE
    AUTHOR(S): KRISHNA BHATTACHARJEE, RAKHAL DAS and BINOD CHANDRA TRIPATHY
    Montes Taurus J. Pure Appl. Math. 6 (3), 474-484, 2024
    Article ID: MTJPAM-D-24-00029
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  1. TITLE: SPECTRA AND ENERGY OF THE VERTEX LABELED COMPLEMENT OF GRAPHS
    AUTHOR(S): INDRANI YAMBARI RADHA LAKSHMI, KAVITA SHIVANNA PERMI, MADHWESHA MOUDGALYA RAVI and ISMAIL NACI CANGUL
    Montes Taurus J. Pure Appl. Math. 6 (3), 484-491, 2024
    Article ID: MTJPAM-D-24-00065
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  1. TITLE: ON ENTROPIES AND FISHER INFORMATION MATRIX FOR AN EXTENDED BETA DISTRIBUTION
    AUTHOR(S): MUSHARRAF ALI
    Montes Taurus J. Pure Appl. Math. 6 (3), 492-502, 2024
    Article ID: MTJPAM-D-24-00034
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  1. TITLE: RAMANUJAN-TYPE CONGRUENCES FOR PARTITIONS FUNCTIONS MODULO PRIME POWERS
    AUTHOR(S): SOFIANE ATMANI and ABDELMEJID BAYAD
    Montes Taurus J. Pure Appl. Math. 6 (3), 503-516, 2024
    Article ID: MTJPAM-D-24-00210
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  1. TITLE: MITIGATING THE ISSUE OF UNEMPLOYMENT THROUGH ENTREPRENEURSHIP DEVELOPMENT IN MSME SECTOR OF INDIA: A MATHEMATICAL MODEL ANALYSIS
    AUTHOR(S): DEBADATTA ADAK and SHEKHAR DAS
    Montes Taurus J. Pure Appl. Math. 6 (3), 517-531, 2024
    Article ID: MTJPAM-D-24-00090
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  1. TITLE: INDEX CALCULATIONS IN KIRIS (ANTALYA) BEACH SEDIMENTS
    AUTHOR(S): IREMNUR GOKDAL, MUSTAFA GURHAN YALCIN and EMIR CAN OZCELIK
    Montes Taurus J. Pure Appl. Math. 6 (3), 532-539, 2024
    Article ID: MTJPAM-D-24-00236
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  1. TITLE: STABILITY ANALYSIS OF SIR EPIDEMIC MODEL UNDER VACCINATION COVERAGE ON VERTICALLY TRANSMITTED NEWBORNS
    AUTHOR(S): DIVYA KUMARI GUMMALA, KALESHA VALI SHAIK, APPA RAO DOKALA and SALMA UMME
    Montes Taurus J. Pure Appl. Math. 6 (3), 540-557, 2024
    Article ID: MTJPAM-D-24-00190
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  1. TITLE: STABILITY ANALYSIS OF SIRI EPIDEMIC MODEL WITH REINTRODUCED SUSCEPTIBLES UNDER INCORPORATED TIME DELAY ON SUSCEPTIBLE INDIVIDUALS
    AUTHOR(S): KANAKA MAHA LAKSHMI EMANDI, KALESHA VALI SHAIK, APPA RAO DOKALA and SALMA UMME
    Montes Taurus J. Pure Appl. Math. 6 (3), 558-578, 2024
    Article ID: MTJPAM-D-24-00155
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  1. TITLE: TOPOLOGICAL INDICES ON SPLITTING, SHADOW AND TOTAL GRAPHS
    AUTHOR(S): FATIMARAJ PATRICK, JEYABALAN VINOLIN and FATIMARAJ JOY BEAULA
    Montes Taurus J. Pure Appl. Math. 6 (3), 579-588, 2024
    Article ID: MTJPAM-D-24-00078
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  1. TITLE: MUIRHEAD MEAN AND ITS PROPERTIES
    AUTHOR(S): BYALADAKERE JAYAMARA NANDINI, RAMACHANDRAIAH SAMPATHKUMAR, KURUGAL MUNIKEMPANNA NAGARAJA and VEERABHADRAIAH LOKESHA
    Montes Taurus J. Pure Appl. Math. 6 (3), 589-604, 2024
    Article ID: MTJPAM-D-24-00157
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  1. TITLE: TOPOLOGICAL INDICES OF HEXAGONAL CHAIN SYSTEMS
    AUTHOR(S): AYSUN YURTTAS GUNES, HACER OZDEN AYNA, ISMAIL NACI CANGUL
    Montes Taurus J. Pure Appl. Math. 6 (3), 605-615, 2024
    Article ID: MTJPAM-D-24-00185
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  1. TITLE: A NOTE ON HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS RELATED TO QUANTUM ANALOG DERIVATIVES
    AUTHOR(S): SHU-HONG WANG and CHEN-XUAN LIU
    Montes Taurus J. Pure Appl. Math. 6 (3), 616-627, 2024
    Article ID: MTJPAM-D-23-00029
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  1. TITLE: SOME NEW RESULTS ON MINIMAL NEUTROSOPHIC COMPACT SPACE
    AUTHOR(S): DEBAJEET DAS and RUNU DHAR
    Montes Taurus J. Pure Appl. Math. 6 (3), 628-634, 2024
    Article ID: MTJPAM-D-24-00204
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  1. TITLE: INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS INVOLVING RABOTNOV FUNCTION SUBORDINATED TO HORADAM POLYNOMIAL
    AUTHOR(S): SHARON ANCY JOSH, THOMAS ROSY and GANGADHARAN MURUGUSUNDARAMOORTHY
    Montes Taurus J. Pure Appl. Math. 6 (3), 635-647, 2024
    Article ID: MTJPAM-D-24-00192
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