scholarly journals On certain subclasses of uniformly spirallike functions associated with struve functions

2021 ◽  
Keyword(s):  
Spirallike Functions ◽  
Struve Functions

scholarly journals On certain infinite integrals involving Struve functions and parabolic cylinder functions

1946 ◽  
Vol 7 (4) ◽  
pp. 171-173 ◽  
Author(s):  
S. C. Mitra
Keyword(s):  
Present Note ◽  
Parabolic Cylinder ◽  
Parabolic Cylinder Functions ◽  
Struve Functions ◽  
Image Position

The object of the present note is to obtain a number of infinite integrals involving Struve functions and parabolic cylinder functions. 1. G. N. Watson(1) has proved thatFrom (1)follows provided that the integral is convergent and term-by-term integration is permissible. A great many interesting particular cases of (2) are easily deducible: the following will be used in this paper.

scholarly journals SUBCLASSES OF SPIRALLIKE FUNCTIONS DEFINED BY RUSCHEW EYH DERIVATIVES

1997 ◽  
Vol 28 (1) ◽  
pp. 59-65
Author(s):  
SUBHAS S. BHOOSNURMATH ◽  
MANJUNATH V. DEVADAS
Keyword(s):  
Spirallike Functions ◽  
First Time

An attempt is being made perhaps for the first time, to relate the spirallike functions with the concept of Ruscheweyh derivatives. A new subclass of spirallike functions is introduced with the help of Ruscheweyh derivatives.

scholarly journals ON SPIRALLIKE INTEGRAL OPERATORS

1994 ◽  
Vol 25 (3) ◽  
pp. 217-220
Author(s):  
SUBHAS S. BHUSNOORMATH ◽  
MANJUNATH V. DEVADAS
Keyword(s):  
Integral Operators ◽  
Spirallike Functions

In this paper the integral operators \[ F(z)=\left[\frac{\beta+\gamma}{z^\gamma}\int_0^z [f(t)]^\beta t^{\gamma-1} dt\right]^{1/\beta}\] for $f(z) \in S^\alpha(\lambda, a, b)$ are studied. $S^\alpha(\lambda, a, b)$ as a subclass of the class of all spirallike functions was introduced and studied by the authors. It is shown that $F(z)$ is also in $S^\alpha(\lambda, a, b)$, whenever $f(z)$ is in $S^\alpha(\lambda, a, b)$, under certain restrictions.

scholarly journals Growth Theorems for a Subclass of Strongly Spirallike Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yan-Yan Cui ◽  
Chao-Jun Wang ◽  
Si-Feng Zhu
Keyword(s):  
Unit Disk ◽  
Complex Plane ◽  
Starlike Functions ◽  
Geometric Properties ◽  
Strongly Starlike Functions ◽  
Strongly Starlike ◽  
Spirallike Functions ◽  
Analytic Mappings

In this paper we consider a subclass of strongly spirallike functions on the unit diskDin the complex planeC, namely, strongly almost spirallike functions of typeβand orderα. We obtain the growth results for strongly almost spirallike functions of typeβand orderαon the unit diskDinCby using subordination principles and the geometric properties of analytic mappings. Furthermore we get the growth theorems for strongly almost starlike functions of orderαand strongly starlike functions on the unit diskDofC. These growth results follow the deviation results of these functions.

scholarly journals Correspondence between spirallike functions and starlike functions

2011 ◽  
Vol 285 (2-3) ◽  
pp. 322-331 ◽  
Author(s):  
Yong Chan Kim ◽  
Toshiyuki Sugawa
Keyword(s):  
Starlike Functions ◽  
Spirallike Functions
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