scholarly journals Certain geometric properties of normalized Bessel functions

2011 ◽  
Vol 24 (12) ◽  
pp. 2133-2139 ◽  
Author(s):  
J.K. Prajapat
Keyword(s):  
Bessel Functions ◽  
Geometric Properties

scholarly journals Certain Geometric Properties of Lommel and Hyper-Bessel Functions

Mathematics ◽  
2019 ◽  
Vol 7 (3) ◽  
pp. 240
Author(s):  
Saima Mushtaq ◽  
Mohsan Raza ◽  
Muhey Din
Keyword(s):  
Bessel Functions ◽  
Sufficient Conditions ◽  
Starlike Functions ◽  
Geometric Properties ◽  
Lommel Functions

In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation.

scholarly journals On Geometric Properties of Normalized Hyper-Bessel Functions

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 316
Author(s):  
Khurshid Ahmad ◽  
Saima Mustafa ◽  
Muhey Din ◽  
Shafiq ur Rehman ◽  
Mohsan Raza ◽  
...  
Keyword(s):  
Hardy Spaces ◽  
Unit Disc ◽  
Bessel Functions ◽  
Sufficient Conditions ◽  
Open Unit ◽  
Open Unit Disc ◽  
Geometric Properties

In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions.

Some geometric properties of an integral operator involving Bessel functions

2017 ◽  
Vol 47 (2) ◽  
pp. 149-156
Author(s):  
Saurabh Porwal ◽  
Nanjundan Magesh ◽  
Surya Pratap Singh
Keyword(s):  
Integral Operator ◽  
Bessel Functions ◽  
Geometric Properties

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.

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.

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