Certain subordination results on the convolution of analytic functions

• Autorzy: Sharma P. , Maurya R. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].

Słowa kluczowe

EN

analytic function; convolution; Hadamard product; subordination; convex functions; zeta functions

PL

funkcja analityczna; skręt; produkt Hadamarda; funkcje wypukłe; funkcje zeta

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2014
• Tom: Vol. 37
• Strony: 111--118
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Sharma P.

• Department of Mathematics University of Lucknow, Lucknow 226007

autor

Maurya R. K.

• Department of Mathematics University of Lucknow, Lucknow 226007

Bibliografia

• [1] S. S. Miller, P. T. Mocanu, Differential Subordinations, Marcel Dekker, Inc., 2000.
• [2] St. Rusheweyh, Convolution in Geometric Function Theory, Les Presses de l’Univ. de Montreal, 1982.
• [3] St. Ruscheweyh, T. Sheil-Small, Hadamard product of schlicht functions and the Poyla-Schoenberg conjecture, Comm. Math. Helv., 48 (1973), 119-135.
• [4] St. Ruscheweyh, J. Stankiewicz, Subordination under convex univalent function, Bull. Pol. Acad. Sci. Math., 33 (1985), 499-502.
• [5] J. Sokół, The convexity of Hadamard product of three functions, J. Math. Appl., 29 (2007), 121-125.
• [6] J. Stankiewicz, Z. Stankiewicz, Some Applications of the Hadamard Convolution in the Theory of Functions, Ann. Univ. Mariae Curie-Sklodowska, 40 (1986), 251- 265.
• [7] E. M. Stein and R. Shakarchi, Complex Analysis, Princeton University Press, New Jersey, USA