[PDF] Top 20 On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
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On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
... A continuous function f uiv is a complex-valued harmonic function in a complex domain C if both u and v are real harmonic in C. In any simply connected domain D ⊆ C, we can write f h g, where h and g are ... See full document
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NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR
... A fairly complate treatment, with applications of the fractional calculus, is given in the books [10] by Oldham and Spanier, and [9] by Miller and Ross. We refer to [12] for more insight into the concept of ... See full document
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Subclass of univalent harmonic functions defined by dual convolution
... 4. Silverman, H: Harmonic univalent function with negative coefficients. J. Math. Anal. Appl. 220, 283-289 (1998) 5. Silverman, H, Silvia, EM: Subclasses of harmonic univalent functions. N.Z. J. ... See full document
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Certain subclass of $p$-valent meromorphic Bazilevi\'{c} functions defined by fractional $q$-calculus operators
... The fractional calculus operators have been widely used in describing and solving different issues in applied sciences and also in the geometric function theory of complex ...ordinary fractional ... See full document
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3.Some New Subclasses of Meromorphically Multivalent Functions Defined by Means of the Liu-Srivastava Operator
... p-valent functions of order β(pβ > 1), which are defined by means of the Liu-Srivastava ...and fractional calculus are proven here for each of these function ... See full document
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Matrix Mittag-Leffler functions of fractional nabla calculus
... the fractional nabla difference operator and developed Leibniz formula, a limited composition rule and a version of a power rule for ...[1] defined Riemann-Liouville and Caputo types of fractional ... See full document
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Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
... In the present paper, we investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivative, and some well-known integral operators defined on the class Tδ,[r] ... See full document
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On A New Class of Univalent Functions with Application of Fractional Calculus Operators Defined By Hohlov Operator
... discuss some properties of a new class of univalent functions in the unit disk defined by Hohlov operator with application of fractional calculus operators, like , distortion theorem ... See full document
13
Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator
... investigate some subordination results of certain subclasses of multivalent analytic functions which are defined by a generalized fractional differintegral ...for functions in ... See full document
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3. A New Class of Harmonic Multivalent Meromorphic Functions
... studied some classes of meromorphic harmonic ...introduce some new subclasses of harmonic multivalent mero- morphic functions defined by generalized Liu-Srivastava ... See full document
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On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions
... 3. Solution of Generalized Fractional Kinetic Equations (GFKE) involving (1.12) In this section, we consider (1.12) to obtain the solution of the fractional kinetic equations using Sumudu transform. For ... See full document
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On Extended Caputo Fractional Derivative Operator
... Caputo fractional derivative operator and establish the extension of an ex- tended fractional derivative of some known elementary ...extended fractional derivative of some familiar ... See full document
14
Solutions of Generalized Fractional Kinetic Equations via Sumudu Transforms Involving Bessel-Struve Kernel Function
... Solutions of generalized fractional kinetic equation in terms of the Bessel-Struve kernel function is given in this study. The results obtained here are in compact forms appropriate for numerical computation and ... See full document
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Some Applications of Srivastava Attiya Operator to p Valent Starlike Functions
... We introduce and study some new subclasses of p-valent starlike, convex, close-to-convex, and quasi-convex functions defined by certain Srivastava-Attiya operator.. Inclusion relations a[r] ... See full document
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On A Class Of Univalent Functions Associated With A Fractional Calculus Operators
... we derived coefficient estimate, distortion theorem, extreme points and application to fractional calculus operator for the function belonging to this class.. Keywords: Hadamard produ[r] ... See full document
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On Fractional Operational Calculus pertaining to the product of H functions
... obtain some results by applying two fractional integral operators of Oldham and Spanier [6] on the product H-function of one variable and H-function of several complex ...The fractional integral ... See full document
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A New Extension of Extended Caputo Fractional Derivative Operator
... [20] S. G. Samko, A. A. Kilbas, O. I. Marichev, Fractional integrals and derivatives, Theory and applications, Edited and with a foreword by S. M. Niko´lskiˇ, Translated from the 1987 Russian original, Revised by ... See full document
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New Subclasses of Meromorphically Multivalent Functions Defined by a Differential Operator
... of functions. The classes of Schwarz and Caratheodory functions play an extremely important role in the theory of analytic functions and havebeen studied by many ... See full document
7
Stability for certain subclasses of harmonic univalent functions
... complex-valued harmonic function F = u + iv in the unit disk D = {z : |z| < 1} admits the decomposition F = h + g, where both h and g are analytic in D (see ...complex-valued harmonic function F (z) = ... See full document
13
On Certain Subclasses of Analytic Functions Defined by Differential Subordination
... Research Article On Certain Subclasses of Analytic Functions Defined by Differential Subordination Hesam Mahzoon Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Fi[r] ... See full document
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