[HTML][HTML] A guide to special functions in fractional calculus
V Kiryakova - Mathematics, 2021 - mdpi.com
Dedicated to the memory of Professor Richard Askey (1933–2019) and to pay tribute to the
Bateman Project. Harry Bateman planned his “shoe-boxes” project (accomplished after his …
Bateman Project. Harry Bateman planned his “shoe-boxes” project (accomplished after his …
[HTML][HTML] Unified approach to fractional calculus images of special functions—A survey
V Kiryakova - Mathematics, 2020 - mdpi.com
Evaluation of images of special functions under operators of fractional calculus has become
a hot topic with hundreds of recently published papers. These are growing daily and we are …
a hot topic with hundreds of recently published papers. These are growing daily and we are …
Fractional calculus of some “new” but not new special functions: k-, multi-index-, and S-analogues
V Kiryakova - AIP Conference Proceedings, 2019 - pubs.aip.org
This paper is a continuation, as Part 2, of the recent author's papers [18],[19],[20], where we
have emphasized on our general and unified approach to evaluate operators of fractional …
have emphasized on our general and unified approach to evaluate operators of fractional …
Some results of generalized k-fractional integral operator with k-Bessel function
R Ali, M Kamran, I Nayab - Turkish Journal of Science, 2020 - dergipark.org.tr
In this paper, we discuss Saigo fractional integral k-operators in which Gauss
Hypergeometric k-function using as a kernel, and Riemann Liouville fractional integral k …
Hypergeometric k-function using as a kernel, and Riemann Liouville fractional integral k …
ERTAIN k-FRACTIONAL CALCULUS OPERATORS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION
In this paper, the Saigo's k-fractional integral and derivative operators involving k-
hypergeometric function in the kernel are applied to the generalized k-Bessel function; …
hypergeometric function in the kernel are applied to the generalized k-Bessel function; …