Results 81 to 90 of about 6,249 (191)
a*-families of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1984 Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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On a class of meromorphic p-valent starlike functions involving certain linear operators
International Journal of Mathematics and Mathematical Sciences, 2002 Let ∑p be the class of functions f(z) which are analytic in the punctured disk 𝔼*={z∈ℂ ...
Jin-Lin Liu, Shigeyoshi Owa
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Mathematics, 2019 By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
Hari M. Srivastava +4 more
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Criteria for Strongly Starlike Functions [PDF]
ISRN Geometry, 2011 Let f(z) be analytic in the unit disk U={z:|z|<1} with f(0)=f'(0)-1=0 and (f(z)/z)f'(z)≠0. By using the method of differential subordinations, we determine the largest number α(β,λ,μ,m) such that, for some β,λ,μ, and m, the differential subordination λzf'(z)/f(z)1-μ1+(zf''(z)/f'(z))-zf'(z)/f(z)+zf'(z)/f(z)m≺1+z/1-zα(β,λ,μ,m)(z∈U) implies zf'(z)/f(z)≺
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Certain subclasses of starlike functions, II
Journal of Mathematical Analysis and Applications, 1991 See the preview in Zbl 0724.30007.
Srivastava, H.M., Owa, Shigeyoshi
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Subclasses of uniformly starlike functions
International Journal of Mathematics and Mathematical Sciences, 1992 We study subclasses of the class of uniformly starlike functions which were recently introduced by A.W. Goodman. One new subclass is defined and it is shown that it shares many properties of the parent class.
Ed Merkes, Mohammad Salmassi
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On starlike harmonic functions
, 2019 Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sufficient conditions, one with the ...
NOSRATİ, S., ZİREH, A.
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Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
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On classes of ζ-uniformly q-analogue of analytic functions with some subordination results
Applied Mathematics in Science and EngineeringThis article presents new classes of ζ-uniformly q-starlike and q-convex analytic functions of order υ using the principle of q-calculus. The renowned classes of starlike and convex functions are utilized to establish these classes.
Sarem H. Hadi +4 more
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Starlike Hypergeometric Functions [PDF]
Proceedings of the American Mathematical Society, 1961 Merkes, E. P., Scott, W. T.
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