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Univalence Conditions and Properties for Some New Integral Operators

In: Mathematics Without Boundaries

Author

Listed:
  • Nicoleta Ularu

    (University of Piteşti)

  • Daniel Breaz

    (“1 Decembrie 1918” University of Alba Iulia)

Abstract

In this paper we introduce three new integral operators. For these operators we prove the univalence conditions, the convexity order and some other properties for some special classes of functions. In view of starlike and convex functions classes, we prove for these operators convexity properties, starlike properties and some other properties that are obtained in analytic form. Subject Classifications: 30C45.

Suggested Citation

  • Nicoleta Ularu & Daniel Breaz, 2014. "Univalence Conditions and Properties for Some New Integral Operators," Springer Books, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Mathematics Without Boundaries, edition 127, pages 549-568, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-1106-6_21
    DOI: 10.1007/978-1-4939-1106-6_21
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