scholarly journals A note on meromorphic functions with positive coefficients associated wth Bessel function

2020 ◽  
Vol 8 (4) ◽  
pp. 1622-1628
Author(s):  
Deshmukh K.C. ◽  
Rajkumar N. Ingle ◽  
P. Thirupathi Reddy
Author(s):  
Santosh M. POPADE ◽  
Rajkumar N. INGLE ◽  
P. THIRUPATHI REDDY ◽  
B VENKATESWARLU

2012 ◽  
Vol 32 (4) ◽  
pp. 1376-1390 ◽  
Author(s):  
J. Dziok ◽  
G. Murugusundaramoorthy ◽  
J. Sokół

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Syed Ghoos Ali Shah ◽  
Saqib Hussain ◽  
Akhter Rasheed ◽  
Zahid Shareef ◽  
Maslina Darus

Inequalities play a fundamental role in many branches of mathematics and particularly in real analysis. By using inequalities, we can find extrema, point of inflection, and monotonic behavior of real functions. Subordination and quasisubordination are important tools used in complex analysis as an alternate of inequalities. In this article, we introduce and systematically study certain new classes of meromorphic functions using quasisubordination and Bessel function. We explore various inequalities related with the famous Fekete-Szego inequality. We also point out a number of important corollaries.


1994 ◽  
Vol 25 (3) ◽  
pp. 247-256
Author(s):  
NAK EUN CHO ◽  
JI A KIM

Let $\Sigma_p$ denote the class of functions of the form \[f(z)=\frac{a_{-1}}{z}+\sum_{k=1}^\infty a_kz^k \quad (a_k\ge 0, a_{-1}>0)\] which are analytic in the annulus $D =\{z |0< |z|<1\}$. Let $\Sigma_{p,1}$ and $\Sigma_{p,2}$ denote subclasses of $\Sigma_p$ satisfying $f(z_0)=1/z_0$ and $f'(z_0)=-1/z^2_0$ ($-1<z_0<1$, $z_0\neq 0$), respectively. Properties of certain subclasses of $\Sigma_{p,1}$ and $\Sigma_{p,2}$ are investigated and sharp results are obtained. Also a new characterization for certain subclass of $\Sigma_p$ is proved.


1993 ◽  
Vol 16 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Young Chang Kim ◽  
Sang Hun Lee ◽  
Shigeyoshi Owa

In this paper, we introduce a new classTP(α)of meromorphic functions with positive coefficients inD={z:0<|z|<1}. The aim of the present paper is to prove some properties for the classTp(α).


2021 ◽  
Vol Accepted ◽  
Author(s):  
Bolineni Venkateswarlu ◽  
Pinnintti Thirupathi Reddy ◽  
Galla Swapna

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