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Chaturvedi, Aparna
- Some Properties of Extended Hypergeometric Function and its Transformations
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Authors
Affiliations
1 Department of Mathematics, Amity Institute of Applied Sciences Amity University, Noida, IN
1 Department of Mathematics, Amity Institute of Applied Sciences Amity University, Noida, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 305-312Abstract
There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.Keywords
Extended Gamma and Extended Beta Functions, Extended Gauss Hypergeometric Functions, Extended Confluent Hypergeometric Functions, Mellin Transforms.
References
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- Generalized Hermite-Based Apostol-Bernoulli, Euler, Genocchi Polynomials and their Relations
Abstract Views :488 |
PDF Views:1
Authors
Affiliations
1 Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, IN
1 Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, IN
Source
The Journal of the Indian Mathematical Society, Vol 87, No 1-2 (2020), Pagination: 9-21Abstract
In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functionsKeywords
2010 Mathematics Subject Classification. Primary 54C40, 14E20; Secondary 46E25, 20C20.
Apostol-Hermite-Bernoullli Polynomials, Apostol-Hermite-Euler Polynomials and Apostol-Hermite-Genocchi Polynomials, Summation Formulae, Symmetric Identities.
References
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