scholarly journals Mapping properties of some integral operators associated with generalized Bessel functions

2020 ◽  
Vol 8 (3) ◽  
pp. 1092-1098
Author(s):  
Saurabh Porwal ◽  
Dilshad Ahamad
Keyword(s):  
Bessel Functions ◽  
Integral Operators ◽  
Generalized Bessel Functions

scholarly journals Marichev-Saigo-Maeda Fractional Integration Operators Involving Generalized Bessel Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Saiful R. Mondal ◽  
K. S. Nisar
Keyword(s):  
Hypergeometric Series ◽  
Bessel Functions ◽  
Fractional Integration ◽  
Integral Operators ◽  
Sine Function ◽  
Wright Function ◽  
Generalized Hypergeometric Series ◽  
Generalized Wright Function ◽  
Generalized Bessel Functions ◽  
Special Cases

Two integral operators involving Appell's functions, or Horn's function in the kernel are considered. Composition of such functions with generalized Bessel functions of the first kind is expressed in terms of generalized Wright function and generalized hypergeometric series. Many special cases, including cosine and sine function, are also discussed.

scholarly journals On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
B. A. Frasin ◽  
Ibtisam Aldawish
Keyword(s):  
Integral Operator ◽  
Bessel Functions ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Generalized Bessel Functions ◽  
Necessary And Sufficient

The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zup(z) to be in the classes SPp(α,β) and UCSP(α,β) of uniformly spiral-like functions and also give necessary and sufficient conditions for z(2-up(z)) to be in the above classes. Furthermore, we give necessary and sufficient conditions for I(κ,c)f to be in UCSPT(α,β) provided that the function f is in the class Rτ(A,B). Finally, we give conditions for the integral operator G(κ,c,z)=∫0z(2-up(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered.

Analytical and numerical results onM-variable generalized Bessel functions

1992 ◽  
Vol 7 (2) ◽  
pp. 175-196 ◽  
Author(s):  
G. Dattoli ◽  
C. Mari ◽  
A. Torre ◽  
C. Chiccoli ◽  
S. Lorenzutta ◽  
...  
Keyword(s):  
Bessel Functions ◽  
Numerical Results ◽  
Generalized Bessel Functions

On integral operators with kernels involving Bessel functions

1966 ◽  
Vol 62 (3) ◽  
pp. 477-484 ◽  
Author(s):  
G. O. Okikiolu
Keyword(s):  
Bessel Functions ◽  
Integral Operators ◽  
Inversion Process ◽  
Image Position

AbstractBy representing integral operators defined by kernels involving Bessel functions as compositions of two operators, we determine their mapping properties and, in one case, derive an inversion process. The operators considered are of the formwhere τ(t) is given respectively by and and in the last three cases the integrals converge in norm.

Generalized bessel functions and hermite polynomial

1993 ◽  
Vol 108 (2) ◽  
pp. 127-134
Author(s):  
B. Léauté ◽  
G. Marcilhacy ◽  
T. Melliti
Keyword(s):  
Hermite Polynomial ◽  
Bessel Functions ◽  
Generalized Bessel Functions
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