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SOME RESULTS ON CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON DIFFERENTIAL SUBORDINATION
Prajapat, Jugal Kishore,Agarwal, Ritu Korean Mathematical Society 2013 대한수학회보 Vol.50 No.1
In the present paper we derive various useful properties and characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.
Some results on certain class of analytic functions based on differential subordination
Jugal Kishore Prajapat,Ritu Agarwal 대한수학회 2013 대한수학회보 Vol.50 No.1
In the present paper we derive various useful properties and \linebreak characteristics for certain class of analytic functions by using the techniques of differential subordination. Some interesting corollaries and applications of the results presented here are also discussed.
Prajapat, Jugal Kishore,Mishra, Ambuj Kumar Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.2
Differential subordination and superordination results associated with a generalized Hurwitz-Lerch Zeta function in the open unit disk are obtained by investigating appropriate classes of admissible functions. In particular some inequalities for generalized Hurwitz-Lerch Zeta function are obtained.
Hardy Spaces of Certain Convolution Operator
Rajbala, Rajbala,Prajapat, Jugal Kishore Department of Mathematics 2020 Kyungpook mathematical journal Vol.60 No.1
In this article, we determine sufficient conditions on the parameters of a generalized convolution operator to ensure that it belongs to the Hardy space and to the space of bounded analytic functions. We exhibit the utility of these results by deducing several interesting examples.
COEFFICIENT BOUNDS FOR INVERSE OF FUNCTIONS CONVEX IN ONE DIRECTION
( Sudhananda Maharana ),( Jugal Kishore Prajapat ),( Deepak Bansal ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
In this article, we investigate the upper bounds on the coeffcients for inverse of functions belongs to certain classes of univalent functions and in particular for the functions convex in one direction. Bounds on the Fekete-Szegö functional and third order Hankel determinant for these classes have also investigated.
THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
BANSAL, DEEPAK,MAHARANA, SUDHANANDA,PRAJAPAT, JUGAL KISHORE Korean Mathematical Society 2015 대한수학회지 Vol.52 No.6
The estimate of third Hankel determinant $$H_{3,1}(f)=\left|a_1\;a_2\;a_3\\a_2\;a_3\;a_4\\a_3\;a_4\;a_5\right|$$ of the analytic function $f(z)=z+a2z^2+a3z^3+{\cdots}$, for which ${\Re}(1+zf^{{\prime}{\prime}}(z)/f^{\prime}(z))>-1/2$ are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.
THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
Deepak Bansal,Sudhananda Maharana,Jugal Kishore Prajapat 대한수학회 2015 대한수학회지 Vol.52 No.6
The estimate of third Hankel determinant H3,1(f) = [수식] of the analytic function f(z) = z + a2z2 + a3z3 + · · · , for which ℜ(1 + zf′′(z)/f′(z)) > −1/2 are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.