6 citations · 18 across the 16 of their papers we have counts for
18 papers
On Lemniscate starlikeness of analytic functions and its application to special functions
Saiful R Mondal, Ahmad K. Al Abdulaali
This paper investigates the lemniscate starlikeness of analytic functions by deriving specific conditions on their power series coefficients. The study utilizes the Cauchy product…
Starlikeness of the generalized Bessel function
Rosihan M. Ali, See Keong Lee, Saiful R. Mondal
For a fixed the radius of starlikeness of positive order is obtained for each of the normalized analytic functions \begin{align*} \mathtt{f}_{a, ν}(z)&…
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…
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…
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…
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…
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…
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…
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…
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…
Relations between the generalized Bessel functions and the Janowski class
S. Kanas, S. R. Mondal, A. D. Mohammed
We are interested in finding the sufficient conditions on , , , and which ensure that the generalized Bessel functions satisfies the subordina…
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…
On the geometric properties of the Bessel-Struve kernel function
Saiful R Mondal
This paper introduce the Bessel-Struve kernel functions defined on the unit disk in the complex plane. We studies the close-to-convexity of with res…
One some differential subordination involving the Bessel-Struve kernel function
Saiful R Mondal, Mohamed Al Dhuian
In this article we study the inclusion properties of the Bessel-Struve kernel functions in the Janowski class. In particular, we find the conditions for which the Bessel-Struve ker…
On the subclasses associated with the Bessel-Struve kernel functions
Saiful R. Mondal, Al Dhuain Mohammed
The article investigate the necessary and sufficient conditions for the normalized Bessel-struve kernel functions belonging to the classes , .…
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…
Inclusion of generalized Bessel functions in the Janowski class
Saiful R. Mondal, Al Dhuain Mohammed
Sufficient conditions on , , , and are determined that will ensure the generalized Bessel functions satisfies the subordination ${u}_{p,b,c}(z) \prec…
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…