A new class of mixed Bessel functions via integral transforms

2021 ◽  
Author(s):  
Mahvish Ali ◽  
Mohammad Idris Qureshi
Keyword(s):  
Bessel Functions ◽  
Integral Transforms ◽  
New Class

scholarly journals On a new class of integrals involving Bessel functions of the first kind

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
P. Agarwal ◽  
S. Jain ◽  
S. Agarwal ◽  
M. Nagpal
Keyword(s):  
Bessel Functions ◽  
New Class

scholarly journals Integral transforms involving the product of Humbert and Bessel functions and its application

2020 ◽  
Vol 5 (2) ◽  
pp. 1260-1274 ◽  
Author(s):  
A. Belafhal ◽  
◽  
N. Nossir ◽  
L. Dalil-Essakali ◽  
T. Usman ◽  
...  
Keyword(s):  
Bessel Functions ◽  
Integral Transforms

scholarly journals A new class of sum rules for products of Bessel functions

2011 ◽  
Vol 52 (3) ◽  
pp. 033508 ◽  
Author(s):  
G. Bevilacqua ◽  
V. Biancalana ◽  
Y. Dancheva ◽  
T. Mansour ◽  
L. Moi
Keyword(s):  
Bessel Functions ◽  
Sum Rules ◽  
New Class

scholarly journals A Class of Integral Transforms

1964 ◽  
Vol 14 (1) ◽  
pp. 33-40 ◽  
Author(s):  
Jet Wimp
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problems ◽  
Inversion Formula ◽  
Heat Conduction Equation ◽  
Boundary Value ◽  
Integral Transforms ◽  
Conduction Equation ◽  
New Class ◽  
Special Cases ◽  
Image Position

In this paper we discuss a new class of integral transforms and their inversion formula. The kernel in the transform is a G-function (for a treatment of this function, see ((1), 5.3) and integration is performed with respect to the argument of that function. In the inversion formula, the kernel is likewise a G-function, but there integration is performed with respect to a parameter. Known special cases of our results are the Kontorovitch-Lebedev transform pair ((2), v. 2; (3))and the generalised Mehler transform pair (7)These transforms are used in solving certain boundary value problems of the wave or heat conduction equation involving wedge or conically-shaped boundaries, and are extensively tabulated in (6).

scholarly journals Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function

2022 ◽  
Vol 6 (1) ◽  
pp. 42
Author(s):  
Soubhagya Kumar Sahoo ◽  
Muhammad Tariq ◽  
Hijaz Ahmad ◽  
Bibhakar Kodamasingh ◽  
Asif Ali Shaikh ◽  
...  
Keyword(s):  
Applied Sciences ◽  
Fractional Integral ◽  
Bessel Functions ◽  
Fractional Operators ◽  
Modified Bessel Functions ◽  
New Class ◽  
Special Means ◽  
Special Cases ◽  
Related Integral ◽  
Increasing Function

The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a monotonic increasing function. The proposed methodology deals with a new class of convexity and related integral and fractional inequalities. There exists a solid connection between fractional operators and convexity because of its fascinating nature in the numerical sciences. Some special cases have also been discussed, and several already-known inequalities have been recaptured to behave well. Some applications related to special means, q-digamma, modified Bessel functions, and matrices are discussed as well. The aftereffects of the plan show that the methodology can be applied directly and is computationally easy to understand and exact. We believe our findings generalise some well-known results in the literature on s-convexity.

PROBABILITY MEASURES ON ℂ ARISING FROM THE JACOBI–SZEGÖ PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS

2011 ◽  
Vol 14 (03) ◽  
pp. 361-374
Author(s):  
NOBUHIRO ASAI
Keyword(s):  
Bessel Functions ◽  
Probability Measures ◽  
Convolution Product ◽  
Special Choice ◽  
Modified Bessel Functions ◽  
Fock Representation ◽  
New Class ◽  
Hahn Polynomials ◽  
Non Gaussian ◽  
Mellin Convolution

In this paper, we shall construct probability measures on ℂ, which can be expressed by the Mellin convolution product of the modified Bessel functions. Our measures on ℂ are related to the Jacobi–Szegö parameters for the continuous dual Hahn polynomials Sn(x2, a, b, c) under the special choice of parameters a, b, c. This paper contains new materials which go further than our previous results in Ref.7. The most interesting thing is that the Mellin convolution of two modified Bessel functions can again be expressed in terms of the modified Bessel functions, by choosing parameters a, b, c appropriately. The origin of our research in this direction goes back to the Bargmann–Fock representation of the classical non-Gaussian random variables.5–8 Our results would have a potential to be related to the higher powers of creation and annihilation operators acting on a new class of interacting Fock spaces.

scholarly journals Subordination Results Associated With Generalized Bessel Functions

2019 ◽  
Vol 2 (1) ◽  
pp. 57-64
Author(s):  
Hamzat J. Olusegun
Keyword(s):  
Analytic Function ◽  
Bessel Functions ◽  
Hadamard Product ◽  
New Class ◽  
Generalized Bessel Functions

In the present work, subordination results for function f(z)γ belonging to a new class of analytic function Snγ (α, β, j) defined using the concept of Hadamard product are obtained. Also coeffcient estimates, growth and distortion properties for function f(z)γ in the class RSnγ (α, β, j) of Bessel type are equally investigated.

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