9 citations · 26 across the 13 of their papers we have counts for
13 papers
Geometric properties of a domain with cusps
Shweta Gandhi, Prachi Gupta, Sumit Nagpal +1
For (even), the function maps the unit disk onto a domain bounded by an epicycloid with cusps. In this paper…
Marx-Strohhäcker theorem for Multivalent Functions
Prachi Gupta, Sumit Nagpal, V. Ravichandran
Some differential implications of classical Marx-Strohhäcker theorem are extended for multivalent functions. These results are also generalized for functions with fixed second coef…
Geometric Properties of Generalized Bessel Function associated with the Exponential Function
Adiba Naz, Sumit Nagpal, V. Ravichandran
Sufficient conditions are determined on the parameters such that the generalized and normalized Bessel function of the first kind and other related functions belong to subclasses o…
Inclusion relations and radius problems for a subclass of starlike functions
Prachi Gupta, Sumit Nagpal, V. Ravichandran
By considering the polynomial function we define the class $\Scar$ consisting of normalized analytic functions such that is subordinate to $ϕ_{c…
Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions
Adiba Naz, Sumit Nagpal, V. Ravichandran
Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind and the confluent hypergeometric function u…
Starlikeness Associated With The Exponential Function
Adiba Naz, Sumit Nagpal, V. Ravichandran
Given a domain in the complex plane and a univalent function defined in an open unit disk with nice boundary behaviour, Miller and Mocanu studied…
Univalence and convexity in one direction of the convolution of harmonic mappings
Sumit Nagpal, V. Ravichandran
Let denote the class of all complex-valued harmonic functions in the open unit disk normalized by , and let be the…
A comprehensive class of harmonic functions defined by convolution and its connection with integral transforms and hypergeometric functions
Sumit Nagpal, V. Ravichandran
For given two harmonic functions and with real coefficients in the open unit disk , we study a class of harmonic functions $f(z)=z-\sum_{n=2}^{\infty}A_nz^{n}+\…
Construction of subclasses of univalent harmonic mappings
Sumit Nagpal, V. Ravichandran
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univale…
Second-order differential subordinations for analytic functions with fixed initial coefficient
Rosihan M. Ali, Sumit Nagpal, V. Ravichandran
Functions with fixed initial coefficient have been widely studied. A new methodology is proposed in this paper by making appropriate modifications and improvements to the theory of…
Applications of Theory of Differential Subordination for Functions with Fixed Initial Coefficient to Univalent Functions
Sumit Nagpal, V. Ravichandran
By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are imp…
A subclass of close-to-convex harmonic mappings
Sumit Nagpal, V. Ravichandran
A subclass of complex-valued close-to-convex harmonic functions that are univalent and sense-preserving in the open unit disc is investigated. The coefficient estimates, growth res…
Starlikeness, convexity and close-to-convexity of harmonic mappings
Sumit Nagpal, V. Ravichandran
In 1984, Clunie and Sheil-Small proved that a sense-preserving harmonic function whose analytic part is convex, is univalent and close-to-convex. In this paper, certain cases are d…