[HTML][HTML] An Introductory Overview of Bessel Polynomials, the Generalized Bessel Polynomials and the q-Bessel Polynomials

HM Srivastava - Symmetry, 2023 - mdpi.com
Named essentially after their close relationship with the modified Bessel function K ν (z) of
the second kind, which is known also as the Macdonald function (or, with a slightly different …

Jacobi's triple-product identity and an associated family of theta-function identities

HM Srivastava, MP Chaudhary, S Chaudhary… - Mathematical …, 2022 - Springer
The main object of this paper is to present a family of-series identities which involve some of
the theta functions of Jacobi and Ramanujan. Each of these (presumably new)-series …

[HTML][HTML] Symmetry, Special Functions and Number Theory

M Planat - Symmetry, 2022 - mdpi.com
The first topic covered in [1] is built around the Gauss hypergeometric function 2F1, the
Kummer hypergeometric function 1F1, and their generalization rFs. Summation formulae …

Applications of General Summation Formulas Contiguous to q-Kummer Theorems

Y Vyas, S Pathak, K Fatawat - International workshop of Mathematical …, 2022 - Springer
This work is motivated essentially by the fact that the applications of basic (or q-)
hypergeometric functions are frequently needed in the form of summations, transformations …

On a Class of New q-Hypergeometric Expansions as Discrete Analogues of the Erdélyi Type q-Integrals

AV Bhatnagar, Y Vyas - … of Mathematical Modelling, Applied Analysis and …, 2022 - Springer
Recently, Vyas et al. have developed an alternative way of proof for the Gasper's discrete
analogue of an Erdélyi integral and inspired from this new type of derivation they resolved …

[PDF][PDF] Email: yashoverdhan. vyas@ spsu. ac. in, shivani. bhatt@ spsu. ac. in, E-Mail: kalpana. fatawat@ technonjr. org

Y Vyas, S Pathak - The Vijnana Parishad of India, 2022 - docs.vijnanaparishadofindia.org
Over the years, the study of Bailey transform, Bailey lemma, Bailey pair, their variants and
their applications are the major subjects of interest. Of course, it is due to the efficiency of the …