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On Certain Novel Subclasses of Analytic and Univalent Functions

Huseyin Irmak|Santosh Bhaurao Joshi|Ravinder Krishen Raina
경북대학교 자연과학대학 수학과|2006.12|Kyungpook Mathematical Journal|제46권 제4호|pp. 543-552

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Abstract

The purpose of the present paper is to introduce two novel subclassesT (n;;) and H (n;;;) of analytic and univalent functions with negative coe-cients, involving Ruscheweyh derivative operator. The various results investigated in thispaper include coecient estimates, distortion inequalities, radii of close-to-convexity, star-likenes, and convexity for the functions belonging to the classT (n;;):These resultsare then appropriately applied to derive similar geometrical properties for the other classH (n;;;) of analytic and univalent functions. Relevant connections of these resultswith those in several earlier investigations are briey indicated.

참고문헌 (8)

  1. "Math. Japon.", 36 3, pp.489~495 (1991)
  2. "Neighborhoods of a certain family of mul-tivalent functions with negative coecients", 47, pp.1167~1672 (2004)
  3. "A certain subclass of analytic functionsinvolving operators of fractional calculus", 35(5), pp.83~91 (1998)
  4. "Some applications of generalized fractional calculus op-erator to a novel class of analytic functions with negative coecients", 8(3), pp.443~452 (2004)
  5. "Neighborhoods of certain classesof analytic functions of complex order", 5(2), pp.1~8 (2004)
  6. "Some subclasses of analytic functions associatedwith fractional calculus operators", 37(9), pp.73~84 (1999)
  7. "New criteria for univalent functions", 49, pp.109~115 (1975)
  8. "Current Topics in Analytic Function Theory" (1992)

관련 논문AI추천

On Certain Subclasses of Meromorphically Univalent FuntionsJ. PATEL, POULASTI SAHOO경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호On a Class of Univalent Functions Defined by Ruscheweyh DerivativesJay M. Jahangiri, S.R.Kulkarni, S. Shams경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호On a Class of Analytic Functions Related to the Starlike FunctionsChunyi Gao, Shiqiong Zhou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호On a class of analytic functions involving Ruscheweyh derivativesLiu Jinlin, Yang Dinggon대한수학회 · 대한수학회보2002 · 제39권 제1호On a Class of p-valent Analytic Functions with Complex OrderAkshaya KumarMohanty, Jagannath Patel경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On a subclass of certain starlike functions with negative coefficientsHalit Orhan, Muhammet Kamali대한수학회 · 대한수학회보2004 · 제41권 제1호

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