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20132025
most citedRepresentation Formulae and Monotonicity of the Generalized k-Bessel Functions

6 citations · 18 across the 16 of their papers we have counts for

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11 papers · 1 filter

math.CA2017★ 3 cited

The Modified Lommel functions: monotonic pattern and inequalities

Saiful R Mondal

This article studies the monotonicity, log-convexity of the modified Lommel functions by using its power series and infinite product representation. Same properties for the ratio o…

math.CA2017

Inequalities for the modified k-Bessel function

Saiful R Mondal, Kottakkaran S. Nisar

The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Be…

math.CA2016

Some integrals involving generalized k-Struve functions

K. S. Nisar, S. R. Mondal

The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wri…

math.CA2016★ 2 cited

On Solution of fractional kinetic equation Involving k-Struve function

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, F. B. M. Belgacem

In the present research article, we investigate solutions for fractional kinetic equations, involving -Struve functions, some of the salient properties of which we pres…

math.CA2016

Pathway fractional integral operators involving -Struve function

Kottakkaran S Nisar, Saiful R Mondal

A new generalization called -Struve function and its properties given by Nisar and saiful very recently. In this paper, we establish the pathway fractional integral rep…

math.CA2016

Certain inequalities involving the k-Struve function

Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Junesang Choi

We aim to introduce a -Struve function and investigate its various properties, including mainly certain inequalities associated this function. One of the inequalities g…

math.CA2016

Inequalities of extended Beta and extended hypergeometric functions

Saiful R Mondal

This paper studies the log-convexity of the extended beta functions. As a consequence, Turán-type inequalities are established.The monotonicity, log-convexity, log-concavity of ext…

math.CA2016★ 6 cited

Representation Formulae and Monotonicity of the Generalized k-Bessel Functions

Saiful R Mondal

This paper introduces and studies a generalization of the -Bessel function of order given by \[\mathtt{W}^{\mathtt{k}}_{ν, c}(x):= \sum_{r=0}^\infty \frac{(-c)^r}{Γ…

math.CA2016

Composition formulas of Bessel-Struve kernel function

K. S Nisar, S. R. Mondal. P. Agarwal

The generalized operators of fractional integration involving Appell's function due to Marichev-Saigo-Maeda, is applied to the Bessel Struve kernel function $S_{α}\left…

math.CA2016★ 3 cited

Certain unified integral formulas involving the generalized modified k-bessel function of first kind

K. S. Nisar, S. R. Mondal

Generalized integral formulas involving the generalized modified k-Bessel function of first kind are expressed in terms generalized Wright fun…

math.CA2013★ 1 cited

Marichev-Saigo-Maeda fractional integration operators of generalized Bessel functions

Saiful. R. Mondal, K. S. Nisar

Two integral operator involving the Appell's functions, or Horn's function in the kernel are considered. Composition of such functions with generalized Bessel functions of the firs…