• Title/Summary/Keyword: superordination

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Differential Subordination and Superordination Results associated with Srivastava-Attiya Integral Operator

  • Prajapat, Jugal Kishore;Mishra, Ambuj Kumar
    • Kyungpook Mathematical Journal
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    • v.57 no.2
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    • pp.233-244
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    • 2017
  • Differential subordination and superordination results associated with a generalized Hurwitz-Lerch Zeta function in the open unit disk are obtained by investigating appropriate classes of admissible functions. In particular some inequalities for generalized Hurwitz-Lerch Zeta function are obtained.

Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator

  • Kwon, Oh Sang;Cho, Nak Eun
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.1-12
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    • 2013
  • The purpose of the present paper is to obtain some subordination- and superordination-preserving properties for multivalent function associated the differintegral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich type theorem for the integral operator is also considered.

SUBORDINATION AND SUPERORDINATION FOR MEROMORPHIC FUNCTIONS ASSOCIATED WITH THE MULTIPLIER TRANSFORMATION

  • Cho, Nak-Eun;Kwon, Oh-Sang
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.299-308
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    • 2011
  • The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.

NEW CRITERIA FOR SUBORDINATION AND SUPERORDINATION OF MULTIVALENT FUNCTIONS ASSOCIATED WITH THE SRIVASTAVA-ATTIYA OPERATOR

  • VIRENDRA KUMAR;NAK EUN CHO
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.387-400
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    • 2023
  • The purpose of the present paper is to obtain some subordination and superordination preserving properties with the sandwich-type theorems for multivalent functions in the open unit disk associated with Srivastava-Attiya operator. Moreover, applications for integral operators are also considered.

SUBORDINATION AND SUPERORDINATION IMPLICATIONS ASSOCIATED WITH A CLASS OF NONLINEAR INTEGRAL OPERATORS

  • SEON HYE AN;NAK EUN CHO
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.223-236
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    • 2023
  • In the present paper, we investigate the subordination and superordination implications for a class of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also presented. Further, we extend some results given earlier as special cases of the main results presented here.

SANDWICH-TYPE THEOREMS FOR A CLASS OF INTEGRAL OPERATORS ASSOCIATED WITH MEROMORPHIC FUNCTIONS

  • Cho, Nak-Eun
    • East Asian mathematical journal
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    • v.28 no.3
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    • pp.321-332
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    • 2012
  • The purpose of the present paper is to investigate some subordination and superordination preserving properties of certain integral operators de ned on the space of meromorphic functions in the puncture open unit disk. The sandwich-type theorems for these integral operators are also presented.

DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS

  • Al-Kharsani, Huda A.;Baricz, Arpad;Nisar, Kottakkaran S.
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.127-138
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    • 2016
  • Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

SANDWICH THEOREMS FOR HIGHER-ORDER DERIVATIVES OF p-VALENT FUNCTIONS DEFINED BY CERTAIN LINEAR OPERATOR

  • Aouf, Mohamed K.;Seoudy, Tamer M.
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.627-636
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    • 2011
  • In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

  • OSHAH, ANESSA;DARUS, MASLINA
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.503-519
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    • 2015
  • In this work, certain classes of admissible functions are considered. Some strong dierential subordination and superordination properties of analytic functions associated with new generalized derivative operator $B^{{\mu},q,s}_{{\lambda}_1,{\lambda}_2,{\ell},d}$ are investigated. New strong dierential sandwich-type results associated with the generalized derivative operator are also given.

Differential Sandwich Theorem for Multivalent Meromorphic Functions associated with the Liu-Srivastava Operator

  • Ali, Rosihan M.;Chandrashekar, R.;Lee, See-Keong;Swaminathan, A.;Ravichandran, V.
    • Kyungpook Mathematical Journal
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    • v.51 no.2
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    • pp.217-232
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    • 2011
  • Differential subordination and superordination results are obtained for multivalent meromorphic functions associated with the Liu-Srivastava linear operator in the punctured unit disk. These results are derived by investigating appropriate classes of admissible functions. Sandwich-type results are also obtained.