Results 31 to 40 of about 60 (60)

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains [PDF]

open access: yes
In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
core   +1 more source

An equation for complex fractional diffusion created by the Struve function with a T-symmetric univalent solution

open access: yesDemonstratio Mathematica
A TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
doaj   +1 more source

Harmonic close-to-convex mappings associated with Sălăgean q-differential operator [PDF]

open access: yes
In this paper, we define a new subclass W(n; _; q) of analytic functions and a new subclass W0H (n; _; q) of harmonic functions f = h+g 2 H0 associated with Sălăgean q-differential operator. We prove that a harmonic function f = h+_g belongs to the class
MISHRA, Omendra   +3 more
core   +1 more source

Gegenbauer Polynomial Convolution for Bi-Univalent Functions with Applications to Image Enhancement

open access: yes
In this paper, we define a new subclass of bi-univalent functions by using convolution and Gegenbauer polynomials. We obtain the initial coefficient bounds and the Fekete-Szegö inequalities for functions belonging to this subclass.
V. SIVASANKARI   +2 more
core   +1 more source

Notes on starlike log-harmonic functions of order α

open access: yes, 2013
For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some
Aydoğan, Seher Melike   +2 more
core  

© Hindawi Publishing Corp. ON SOME NEW PROPERTIES OF THE SPHERICAL CURVATURE OF STEREOGRAPHICALLY PROJECTED ANALYTIC CURVES

open access: yes, 2002
We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curva-ture and spherical torsion of the curves on S2 which result after stereographically ...
Stephen M. Zemyan
core  

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