Integral relations among Bessel functions
نویسندگان
چکیده
منابع مشابه
Sufficient Conditions for Integral Operator Defined by Bessel Functions
The main object of the present paper is to derive several sufficient conditions for integral operator defined by Bessel functions of the first kind to be convex and strongly convex of given order in the open unit disk.
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In this paper we will study the integral operator involving Bessel functions of the first kind and of order v.We will investigate the integral operator for the classes of starlike and convex functions in the open unit disk.
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Recently Pogány and Süli [Proc. Amer. Math. Soc. 137(7) (2009), 2363–2368] derived a closed-form integral expression for Neumann series of Bessel functions of the first kind Jν . In this paper our aim is to establish analogous integral representations for the Neumann-type series of modified Bessel functions of the first kind Iν and for Bessel functions of the second kind Yν , Kν , and to give l...
متن کاملRelations between the Generalized Bessel Functions and the Janowski Class
We are interested in finding the sufficient conditions on A , B , λ , b and c which ensure that the generalized Bessel functions uλ := uλ ,b,c satisfies the subordination uλ (z) ≺ (1+Az)/(1+Bz) . Also, conditions for which uλ (z) to be Janowski convex, and zuλ (z) to be Janowski starlike in the unit disk D = {z ∈ C : |z| < 1} are obtained. Mathematics subject classification (2010): 34B30, 33C10...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1969
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1969-0257426-x