72 citations · 345 across the 28 of their papers we have counts for
4 papers · 2 filters
The Transmutation Method and Boundary-Value Problems for Singular Differential Equations
V. V. Katrakhov, S. M. Sitnik
The main content of this book is composed from two doctoral theses: by V.\,V.~Katrakhov (1989) and by S.\,M.~Sitnik (2016). In our work, for the first time in the format of a monog…
Monotonicity Properties and functional inequalities for the Volterra and incomplete Volterra functions
Khaled Mehrez, Sergei M. Sitnik
In this paper we prove some monotonicity, log--convexity and log--concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these result…
Generalized Volterra functions, its integral representations and applications to the Mathieu--type series
Khaled Mehrez, Sergei M. Sitnik
In this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox-Wright H-functions and Meijer G-functions. From…
Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
Ahmed Fitouhi, Inèss Jebabli, Elina L. Shishkina +1
In the paper we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of tra…