Mathematical properties of generalized Bessel functions and application to multi-tone sinusoidal frequency modulation

2018 ◽  
Vol 143 (3) ◽  
pp. 1955-1955
Author(s):  
Parker Kuklinski ◽  
David A. Hague
Keyword(s):  
Frequency Modulation ◽  
Bessel Functions ◽  
Mathematical Properties ◽  
Generalized Bessel Functions

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

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

scholarly journals Unified integrals involving product of multivariable polynomials and generalized Bessel functions

2019 ◽  
Vol 38 (6) ◽  
pp. 73-83
Author(s):  
K. S. Nisar ◽  
D. L. Suthar ◽  
Sunil Dutt Purohit ◽  
Hafte Amsalu
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
General Character ◽  
Polynomial Functions ◽  
Finite Product ◽  
Generalized Bessel Function ◽  
Integral Formulas ◽  
Generalized Bessel Functions ◽  
Multivariable Polynomial ◽  
Integral Formulae

The aim of this paper is to evaluate two integral formulas involving a finite product of the generalized Bessel function of the first kind and multivariable polynomial functions which results are expressed in terms of the generalized Lauricella functions. The major results presented here are of general character and easily reducible to unique and well-known integral formulae.

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