• 제목/요약/키워드: subordination type

검색결과 23건 처리시간 0.03초

HANKEL DETERMINANT PROBLEMS FOR CERTAIN SUBCLASSES OF SAKAGUCHI TYPE FUNCTIONS DEFINED WITH SUBORDINATION

  • Singh, Gagandeep;Singh, Gurcharanjit
    • Korean Journal of Mathematics
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    • 제30권1호
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    • pp.81-90
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    • 2022
  • The present investigation is concerned with the estimation of initial coefficients, Fekete-Szegö inequality, second Hankel determinants, Zalcman functionals and third Hankel determinants for certain subclasses of Sakaguchi type functions defined with subordination in the open unit disc E = {z ∈ ℂ : |z| < 1}. The results derived in this paper will pave the way for the further study in this direction.

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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    • 제27권3호
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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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    • 제41권2호
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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.

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

  • Cho, Nak-Eun
    • East Asian mathematical journal
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    • 제28권3호
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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.

STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

  • OSHAH, ANESSA;DARUS, MASLINA
    • Korean Journal of Mathematics
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    • 제23권4호
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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.

Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator

  • Kwon, Oh Sang;Cho, Nak Eun
    • Kyungpook Mathematical Journal
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    • 제53권1호
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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 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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    • 제5권3_4호
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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.

DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS

  • Al-Kharsani, Huda A.;Baricz, Arpad;Nisar, Kottakkaran S.
    • 대한수학회보
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    • 제53권1호
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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.

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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    • 제51권2호
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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.

ON A NEW CLASS OF SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS ASSOCIATED WITH SUBORDINATION

  • Altinkaya, Sahsene;Cakmak, Serkan;Yalcin, Sibel
    • 호남수학학술지
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    • 제40권3호
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    • pp.433-446
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    • 2018
  • In this present investigation, we introduce a new class of harmonic univalent functions of the form $f=h+{\bar{g}}$ in the open unit disk ${\Delta}$. We get basic properties, like, necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for these classes of functions.