Application of generalized Ruscheweyh derivatives on p-valent functions

• Autorzy: Parihar H. S. , Agarwal R.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we define a new class of p-valent analytic functions with finitely many coefficients by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator. Some properties of this class are also investigated. e.g. Coefficient estimates, convex combination, arithmatic mean, extreme points, radii of starlikeness and convexity. Many known results are as a special case of our results.

Słowa kluczowe

EN

Ruscheweyh derivative; starlike function; p-valent function; convolution

PL

pochodna Ruscheweyha; funkcja gwiaździsta; funkcja walencyjna; splot

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2011
• Tom: Vol. 34
• Strony: 75--86
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Parihar H. S.

• Central University of Rajasthan, Kishangarh, Ajmer, India

autor

Agarwal R.

• UDML College of Engineering, Jaipur, India

Bibliografia

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