Results 101 to 110 of about 7,251 (222)

Starlike Hypergeometric Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
Merkes, E. P., Scott, W. T.
openaire   +2 more sources

On a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).
D. K. Thomas
doaj   +1 more source

New Properties of Analytic Functions

open access: yesMathematics
In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
doaj   +1 more source

a*-families of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
doaj   +1 more source

A Class of Starlike Functions

open access: yesRocky Mountain Journal of Mathematics, 1993
Let \(S^*\) be the usual class of starlike functions, i.e. \(f(z)\) of the form \(z+a_ 2 z^ 2\dots\) which are analytic and univalent in the unit disc \(U\) and which map \(U\) onto a domain starshaped with respect to the origin.
openaire   +2 more sources

Certain geometric properties of the fractional integral of the Bessel function of the first kind

open access: yesAIMS Mathematics
This paper revealed new fractional calculus applications of special functions in the geometric function theory. The aim of the study presented here was to introduce and begin the investigations on a new fractional calculus integral operator defined as ...
Georgia Irina Oros   +2 more
doaj   +1 more source

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