An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas-Reference-Cited by-同舟云学术

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An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas

Published:1990-02-01 Issue:1 Volume:42 Page:1-27
ISSN:0008-414X
Container-title:Canadian Journal of Mathematics
language:en
Short-container-title:Can. j. math.

Author:

Gasper George,Rahman Mizan

Abstract

Let denote the q-shifted factorial, and set Recently, Gasper [7] showed that some bibasic summation formulas derived by Carlitz [5], Al-Salam and Verma [1], and Wm. Gosper could be extended to the indefinite bibasic summation formula where p and q are independent bases and a, b, c are arbitrary parameters.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some double series for π and their q-analogues;Journal of Mathematical Analysis and Applications;2024-09

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3. TRIPLICATE DUAL SERIES OF THE DOUGALL–DIXON THEOREM;Rocky Mountain Journal of Mathematics;2024-04-01

4. General q -series transformations based on Abel's lemma on summation by parts and their applications;Journal of Difference Equations and Applications;2024-01-19

5. On some properties of the bibasic Humbert hypergeometric functions Ξ1 and Ξ2;Applied Mathematics-A Journal of Chinese Universities;2023-12

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