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Volumn 28, Issue 3, 1998, Pages 1035-1041

Some questions and conjectures in the theory of univalent functions

Author keywords

Close to convex functions; Integral convolution; Komatu s conjecture; P lya Schoenberg conjecture; Riemann zeta function; Starlike functions; Thomas s conjecture; Univalent functions; spirallike functions

Indexed keywords


EID: 0032344421     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071753     Document Type: Article
Times cited : (8)

References (10)
  • 1
    • 84972494066 scopus 로고
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    • D.M. Campbell and V. Singh, Valence properties of the solution of a differential equation, Pacific J. Math. 84 (1979), 29-33.
    • (1979) Pacific J. Math , vol.84 , pp. 29-33
    • Campbell, D.M.1    Singh, V.2
  • 2
    • 0004025283 scopus 로고
    • Springer-Verlag, Heidelberg, New York
    • P.L. Duren, Univalent functions, Springer-Verlag, Heidelberg, New York, 1983, 72-257.
    • (1983) Univalent Functions , pp. 72-257
    • Duren, P.L.1
  • 3
    • 0004025285 scopus 로고
    • Polygonal Publishing House, Washington, New Jersey
    • A.W. Goodman, Univalent functions, Vols. 1 and 2, Polygonal Publishing House, Washington, New Jersey, 1983.
    • (1983) Univalent Functions , vol.1-2
    • Goodman, A.W.1
  • 4
    • 0040550896 scopus 로고
    • On some extremal problems of the theory of univalent functions, in Geometric function theory and applications of complex analysis to mechanics: Studies
    • Z.J. Jakubowski, On some extremal problems of the theory of univalent functions, in Geometric function theory and applications of complex analysis to mechanics: Studies in complex analysis and its applications to partial differential equations, II (Halle, 1988), Pitman Research Notes in Math. Ser. 257 (1991), 49-55.
    • (1991) Complex Analysis and Its Applications to Partial Differential Equations , vol.257 , pp. 49-55
    • Jakubowski, Z.J.1
  • 5
    • 0041144979 scopus 로고
    • On a one-parameter additive family of operators defined on analytic functions regular in the unit disk
    • Y. Komatu, On a one-parameter additive family of operators defined on analytic functions regular in the unit disk, Bull. Fac. Sei. Engrg. Chuo Univ. Ser. I. Math. 22 (1979), 1-22;
    • (1979) Bull. Fac. Sei. Engrg. Chuo Univ. Ser. I. Math. , vol.22 , pp. 1-22
    • Komatu, Y.1
  • 6
    • 0040550900 scopus 로고
    • Analytic functions
    • Y. Komatu, Analytic functions, Lecture Notes in Math. 798 (1980), 292-300.
    • (1980) Lecture Notes in Math , vol.798 , pp. 292-300
    • Komatu, Y.1
  • 7
    • 0041155531 scopus 로고
    • Convexity of a certain series
    • J.L. Lewis, Convexity of a certain series, J. London Math. Soc. (2) 27 (1983), 435-46.
    • (1983) J. London Math. Soc. (2) , vol.27 , pp. 435-446
    • Lewis, J.L.1
  • 9
    • 51249188136 scopus 로고
    • Hadamard products of schlicht functions and the Pölya-Schoenberg conjecture
    • St. Ruscheweyh and T. Sheil-Small, Hadamard products of schlicht functions and the Pölya-Schoenberg conjecture, Comm. Math. Helv. 48 (1973), 119-135.
    • (1973) Comm. Math. Helv , vol.48 , pp. 119-135
    • Ruscheweyh, S.T.1    Sheil-Small, T.2
  • 10
    • 0002087486 scopus 로고
    • A certain one-parameter additive family of operators defined on analytic functions
    • H.M. Srivastava and S. Owa, A certain one-parameter additive family of operators defined on analytic functions, J. Math. Anal. Appl. 118 (1986), 80-87.
    • (1986) J. Math. Anal. Appl , vol.118 , pp. 80-87
    • Srivastava, H.M.1    Owa, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.