scholarly journals On Bessel Functions Related with Certain Classes of Analytic Functions with respect to Symmetrical Points

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Afis Saliu ◽  
Khalida Inayat Noor ◽  
Saqib Hussain ◽  
Maslina Darus
Keyword(s):  
Analytic Functions ◽  
Bessel Functions ◽  
Geometric Properties ◽  
Inclusion Property ◽  
Generalized Bessel Functions ◽  
Symmetrical Points

In the present investigation, subclasses of analytic functions with respect to symmetrical points which are defined by the generalized Bessel functions of the first kind of order μ are introduced. Furthermore, some alluring geometric properties of these classes, which include inclusion property, integral-preserving properties, coefficients, and distortion results are studied. Moreover, some consequences of our results are also given.

Application of generalized Bessel functions to classes of analytic functions

2020 ◽  
Author(s):  
B. A. Frasin ◽  
Feras Yousef ◽  
Tariq Al-Hawary ◽  
Ibtisam Aldawish
Keyword(s):  
Analytic Functions ◽  
Bessel Functions ◽  
Generalized Bessel Functions

scholarly journals Certain Geometric Properties of Generalized Dini Functions

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Muhey U. Din ◽  
Mohsan Raza ◽  
Saqib Hussain ◽  
Maslina Darus
Keyword(s):  
Hardy Space ◽  
Bessel Functions ◽  
Geometric Properties ◽  
Generalized Bessel Functions

We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order α, convexity of order α, and close-to-convexity of order ((1+α)/2) for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space Hp.

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
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