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Results 21 to 30 of about 274 (35)

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 563-573, 1996., 1994
We consider logharmonic mappings of the form defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close‐to‐starlike logharmonic mappings. Representation theorems and distortion theorems are obtained.
Zayid Abdulhadi
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A new criterion for starlike functions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 613-614, 1996., 1995
In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
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Univalent functions maximizing Re[f(ζ1) + f(ζ2)]

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 789-795, 1996., 1995
We study the problem maxh∈Sℜ[h(z1) + h(z2)] with z1, z2 in Δ. We show that no rotation of the Koebe function is a solution for this problem except possibly its real rotation, and only when or z1, z2 are both real, and are in a neighborhood of the x‐axis.
Intisar Qumsiyeh Hibschweiler
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Convex functions and the rolling circle criterion

International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 799-811, 1995., 1993
Given 0 ≤ R1 ≤ R2 ≤ ∞, CVG(R1, R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2. Necessary and sufficient conditions for R1 = R2, growth and distortion theorems for CVG(R1, R2) and rotation theorem for the class of convex functions of bounded ...
V. Srinivas, O. P. Juneja, G. P. Kapoor
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On polynomial expansion of multivalent functions

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 443-446, 1991., 1991
Coefficient bounds for mean p‐valent functions, whose expansion in an ellipse has a Jacobi polynomial series, are given in this paper.
M. M. Elhosh
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Sufficient conditions for spiral‐likeness

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 641-644, 1989., 1989
Coefflcient conditions sufficient for splral‐likenss are found by convolution methods. The order of starlikeness for such functions is also determined.
H. Silverman
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Some classes of alpha‐quasi‐convex functions

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 497-501, 1988., 1986
Let C[C, D], −1 ≤ D < C ≤ 1 denote the class of functions g, g(0) = 0, g′(0) = 1, analytic in the unit disk E such that is subordinate to , z ∈ E. We investigate some classes of Alpha‐Quasi‐Convex Functions f, with f(0) = f′(0) − 1 = 0 for which there exists a g ∈ C[C, D] such that is subordinate to , −1 ≤ B < A ≤ 1.
Khalida Inayat Noor
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Subclasses of close‐to‐convex functions

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 449-458, 1983., 1983
Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D] such that f′/g′ is ...
E. M. Silvia
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Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota +3 more
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Analytic solutions of a generalized complex multi-dimensional system with fractional order

Demonstratio 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.
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30c45
fractional calculus