scholarly journals Applications of first order differential subordination for functions with positive real part

2018 ◽  
Vol 63 (3) ◽  
pp. 303-311 ◽  
Author(s):  
Om P. Ahuja ◽  
◽  
Sushil Kumar ◽  
V. Ravichandran ◽  
◽  
...  
Keyword(s):  
Differential Subordination ◽  
Positive Real Part ◽  
Positive Real ◽  
First Order

scholarly journals Starlike Functions Related to the Bell Numbers

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 219 ◽  
Author(s):  
Nak Cho ◽  
Sushil Kumar ◽  
Virendra Kumar ◽  
V. Ravichandran ◽  
H. Srivastava
Keyword(s):  
Starlike Functions ◽  
Differential Subordination ◽  
Positive Real Part ◽  
Bell Numbers ◽  
Positive Real ◽  
First Order

The present paper aims to establish the first order differential subordination relations between functions with a positive real part and starlike functions related to the Bell numbers. In addition, several sharp radii estimates for functions in the class of starlike functions associated with the Bell numbers are determined.

scholarly journals Differential subordination for Janowski functions with positive real part

2021 ◽  
Vol 66 (3) ◽  
pp. 457-470
Author(s):  
Swati Anand ◽  
V. Ravichandran ◽  
Sushil Kumar
Keyword(s):  
Sufficient Conditions ◽  
Starlike Functions ◽  
Differential Subordination ◽  
Positive Real Part ◽  
Algebraic Condition ◽  
Positive Real ◽  
First Order ◽  
Janowski Functions ◽  
Subordination Theory ◽  
Differential Subordinations

"Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition.We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with positive real part. As applications, we obtain suffcient conditions for normalized analytic functions to be Janowski starlike functions."

scholarly journals On a Subclass of Multivalent Functions with Bounded Positive Real Part

2019 ◽  
Vol 7 (1) ◽  
pp. 1
Author(s):  
Thirupathi Ganapathi
Keyword(s):  
Differential Subordination ◽  
Positive Real Part ◽  
Integral Representations ◽  
Positive Real ◽  
Symmetric Points ◽  
Bounded Positive Real Part

In the present paper, by introducing a new subclass of multivalent functions with respect to - symmetric points, we have obtained the integral representations and conditions for starlikeness using differential subordination.

scholarly journals Initial logarithmic coefficients for functions starlike with respect to symmetric points

2021 ◽  
Vol 27 (3) ◽  
Author(s):  
Paweł Zaprawa
Keyword(s):  
Exact Result ◽  
Positive Real Part ◽  
Additional Benefit ◽  
Extremal Functions ◽  
Positive Real ◽  
Logarithmic Coefficients ◽  
Symmetric Points

AbstractIn this paper, we obtain the bounds of the initial logarithmic coefficients for functions in the classes $${\mathcal {S}}_S^*$$ S S ∗ and $${\mathcal {K}}_S$$ K S of functions which are starlike with respect to symmetric points and convex with respect to symmetric points, respectively. In our research, we use a different approach than the usual one in which the coeffcients of f are expressed by the corresponding coeffcients of functions with positive real part. In what follows, we express the coeffcients of f in $${\mathcal {S}}_S^*$$ S S ∗ and $${\mathcal {K}}_S$$ K S by the corresponding coeffcients of Schwarz functions. In the proofs, we apply some inequalities for these functions obtained by Prokhorov and Szynal, by Carlson and by Efraimidis. This approach offers a additional benefit. In many cases, it is easily possible to predict the exact result and to select extremal functions. It is the case for $${\mathcal {S}}_S^*$$ S S ∗ and $${\mathcal {K}}_S$$ K S .

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