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Some classes of regular functions defined by convolution

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Analytic Functions Błażejewko 1982

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

Abstract

S. Ruscheweyh, using Hadamard convolution, introduced new definitions for some classes of regular functions. The definitions are used here to prove several properties of these classes.

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References

  1. GOODMAN, A.W.: Analytic functions that take values in a convex region, Proc. Amer. Math. Soc. 14 (1963), 60–64.

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  3. RAHMAN, Q.I. and J. STANKIEWICZ: On the Hadamard products of schlicht functions, to appear.

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  4. RUSCHEWEYH, S.: Linear operators between classes of prestarlike functions, Comment. Math. Helvetici 52 (1977), 497–507.

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  5. —: Neighbourhoods of univalent functions, Proc. Amer. Math. Soc., to appear.

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  6. SILVERMAN, H., E.M. SILVIA, and D. TELLAGE: Convolution conditions for convexity, starlikeness and spiral-likeness, Math. Z. 162 (1978), 125–130.

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  7. STANKIEWICZ, J. and J. WANIURSKI: Some classes of functions subordinate to linear transformation and their applications, Ann. Univ. Mariae Curie-Skłodowska 28 (1974), 85–94.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Physics, Rzeszów Technical High School, Poznańska 2, PL-35-084, Rzeszów, Poland

    Jan Stankiewicz & Zofia Stankiewicz

Authors
  1. Jan Stankiewicz
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  2. Zofia Stankiewicz
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Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

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© 1983 Springer-Verlag Berlin Heidelberg

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Stankiewicz, J., Stankiewicz, Z. (1983). Some classes of regular functions defined by convolution. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073381

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  • DOI: https://doi.org/10.1007/BFb0073381

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

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