• Title/Summary/Keyword: Product Functions

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INTEGRATION OF BICOMPLEX VALUED FUNCTION ALONG HYPERBOLIC CURVE

  • Chinmay Ghosh;Soumen Mondal
    • Korean Journal of Mathematics
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    • v.31 no.3
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    • pp.323-337
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    • 2023
  • In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex valued functions on rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for hyperbolic line integral.

A Note on Marcinkiewicz Integral Operators on Product Domains

  • Badriya Al-Azri;Ahmad Al-Salman
    • Kyungpook Mathematical Journal
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    • v.63 no.4
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    • pp.577-591
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    • 2023
  • In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

Design and Implementation of Wire/wireless Web Service System based on SOAP (SOAP 기반의 유/무선 웹 서비스 시스템 설계 및 구현)

  • Park Jong-Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.3
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    • pp.661-668
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    • 2005
  • This paper designs and implements wire/wireless web service system based on SOAP for price comparison dynamically using web service technoloies in real time. This web service system composes web service client module including functions of product search, product sort, product order and UDDI retrieval browser, and server module including functions of remote procedure call for product search/order and functions of UDDI publish browser, and mobile client module supporting functions for product search/order in wireless environments. This web service system can exchange product information based on SOAP messages and support independence of platform and flexible portability in environment conforming to SOAP, WSDL and UDDI standards.

AN APPLICATION OF FRACTIONAL DERIVATIVE OPERATOR TO A NEW CLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS

  • Lee, S.K.;Joshi, S.B.
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.183-194
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    • 1998
  • Making use of a certain operator of fractional derivative, a new subclass $L_p({\alpha},{\beta},{\gamma},{\lambda})$) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.

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A CERTAIN SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH AN INTEGRAL OPERATOR

  • Akgul, Arzu
    • Honam Mathematical Journal
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    • v.39 no.3
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    • pp.331-347
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    • 2017
  • The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and a necessary and sufficient condition for a function f to be in this class. We obtain coefficient inequality, meromorphically radii of close-to-convexity, starlikeness and convexity, convex linear combinations, Hadamard product and integral transformation for the functions f in this class.

INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT ANALYTIC FUNCTIONS OF COMPLEX ORDER INVOLVING A LINEAR OPERATOR

  • Sahoo, Ashok Kumar;Patel, Jagannath
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.6
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    • pp.1625-1647
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    • 2014
  • By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of p-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results.

On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.