On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series and Its Applications
We have obtained a new summation formula for 2𝜓2 bilateral basic hypergeometric series by the method of parameter augmentation and demonstrated its various uses leading to some development of etafunctions, 𝑞-gamma, and 𝑞-beta function identities.
Saved in:
| Main Authors: | D. D. Somashekara, K. Narasimha Murthy, S. L. Shalini |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/132081 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)
by: Gradimir V. Milovanović, et al.
Published: (2023-07-01) -
New Proofs of Some q-Summation and q-Transformation Formulas
by: Xian-Fang Liu, et al.
Published: (2014-01-01) -
Some New Integral Formulas Involving the Product of Multivariable Aleph Function, General Class of Srivastava Polynomials, M-Series, and Hypergeometric Functions
by: Alok Bhargava, et al.
Published: (2025-01-01) -
Linearization Coefficients for Some Basic Hypergeometric Polynomials
by: Hamza Chaggara, et al.
Published: (2022-01-01) -
On summation of Fourier series in finite form
by: Mikhail D. Malykh, et al.
Published: (2024-12-01)