Zobrazeno 1 - 10
of 37
pro vyhledávání: '"J. K. Prajapat"'
Autor:
J. K. Prajapat
Publikováno v:
Surveys in Mathematics and its Applications, Vol 11 (2016), Pp 11-19 (2016)
In this work, we introduce and investigate an interesting subclass Xt(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class Xt(γ), we drive several properties including coefficient estimates, dis
Externí odkaz:
https://doaj.org/article/803148261b92440fad831920f08e5d28
Autor:
J. K. Prajapat, R. K. Raina
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2008 (2008)
We use the familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships associated with the (𝑛,𝛿)-neighborhoods for these su
Externí odkaz:
https://doaj.org/article/e080d8492671470a98019878474c57f6
Autor:
Rajbala, J. K. Prajapat
Publikováno v:
Проблемы анализа, Vol 10 (28), Iss 1, Pp 69-86 (2021)
In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters. Further, we obtain bounds on preSch
Publikováno v:
The Journal of Analysis. 28:961-972
In this paper, we study a family of sense-preserving harmonic mappings whose analytic part is convex in one direction. We first establish the bounds on the pre-Schwarzian norm. Next, we obtain radius of fully starlike and radius of fully convex for t
Publikováno v:
Journal of Mathematical Analysis and Applications. 474:931-943
The aim of the paper is a study of a family of sense-preserving complex valued harmonic functions f that are normalized in the open unit disk, and such that its analytic part is convex in one direction. We prove the univalence and establish estimates
Autor:
Rajbala, J. K. Prajapat
Publikováno v:
Journal of Classical Analysis. :61-69
Publikováno v:
Filomat. 32:6475-6486
In the present work, Mittag-Leffler functions with its normalization are considered. Several results are obtained so that these functions have certain geometric properties including starlikeness, convexity, close-to-convexity of order ?, and radius o
Publikováno v:
Mathematica Bohemica, Vol 143, Iss 1, Pp 99-111 (2018)
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investiga
Publikováno v:
Studia Universitatis Babes-Bolyai Matematica. 62:183-195
In this paper, the estimate for the third Hankel determinant H_{ 3 , 1} ( f ) of Taylor coefficients of function f ( z ) = z +\sum_{n=2}{\infty} a_ n z^ n , belonging to certain classes of analytic functions in the open unit disk D , are investigated
Publikováno v:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 87:215-219
In this paper, we show that every section of function in a family of convex function in one direction in the open unit disk are convex in $${\mathbb {D}}_{1{/}2}=\{z\in {\mathbb {C}}: |z