• Title/Summary/Keyword: k-uniformly quasi-convex functions

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Certain Subclasses of k-uniformly Functions Involving the Generalized Fractional Differintegral Operator

  • Seoudy, Tamer Mohamed
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.243-255
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    • 2018
  • We introduce several k-uniformly subclasses of p-valent functions defined by the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.

MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION

  • Vijaya, K.;Murugusundaramoorthy, G.;Cho, N.E.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.71-81
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    • 2021
  • The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q-calculus operator associated with exponential function.