Title: SUMS OF INFINITE POWER SERIES WHOSE COEFFICIENTS INVOLVE PRODUCTS OF THE CATALAN–QI NUMBERS
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-19-00007; Volume 1 / Issue 2 / Year 2019, Pages 1-12
Document Type: Research Paper
Author(s): Feng Qi a , Bai-Ni Guo b
aCollege of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China; School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
bSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
Received: 5 December 2019, Accepted: 10 December 2019, Available online: 28 December 2019.
Corresponding Author: Bai-Ni Guo (Email address: email@example.com)
Full Text: PDF
In the paper, the authors discuss some relations between generalized hypergeometric functions and infinite power series whose coefficients are products of the Catalan-Qi numbers, and derive closed expressions for some special power series whose coefficients are products of the Catalan-Qi numbers.
Keywords: Catalan-Qi function, Catalan number, gamma function, Gauss hypergeometric function, generalized hypergeometric function, infinite power series, rising factorialReferences:
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