Results 81 to 90 of about 2,351 (152)

Hankel determinants for q-starlike functions connected with q-sine function

open access: yesDemonstratio Mathematica
This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function.
Taj Yusra   +4 more
doaj   +1 more source

A new family of multivalent functions defined by certain forms of the quantum integral operator

open access: yesDemonstratio Mathematica
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal   +5 more
doaj   +1 more source

Length problems for Bazilevič functions

open access: yesDemonstratio Mathematica, 2019
Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru   +2 more
doaj   +1 more source

Toeplitz matrices whose elements are coefficients of Bazilevič functions

open access: yesOpen Mathematics, 2018
We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan   +3 more
doaj   +1 more source

Differential subordination and convexity criteria of integral operators

open access: yesOpen Mathematics, 2017
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R.   +2 more
doaj   +1 more source

On a subclass of multivalent functions defined by generalized multiplier transformation

open access: yesOpen Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

open access: yesDemonstratio Mathematica
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions.
Murugusundaramoorthy Gangadharan   +3 more
doaj   +1 more source

Analytic solutions of a generalized complex multi-dimensional system with fractional order

open access: yesDemonstratio Mathematica
The Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the kk-symbol fractional calculus.
Baleanu Dumitru, Ibrahim Rabha W.
doaj   +1 more source

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