𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integrated Partial Sums of Convolutions of Univalent Functions

✍ Scribed by F. Ronning

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
302 KB
Volume
175
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Partial Sums of Starlike and Convex Func
Partial Sums of Starlike and Convex Functions
✍ H Silverman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 135 KB

Let f z szqÝ a z be the sequence of partial sums of a function a z that is analytic in z -1 and either starlike of order ␣ or ks 2 k Γ„ 4 convex of order ␣, 0 F ␣ -1. When the coefficients a are ''small,'' we deterk Γ„ Ε½ . Ε½ 4 Γ„ Ε½ . Ε½ .4 Γ„ Ε½ . X Ε½ .4 mine lower bounds on Re f z rf z , Re f z rf z , R

On Computing the Nested Sums and Infimal
On Computing the Nested Sums and Infimal Convolutions of Convex Piecewise-Linear Functions
✍ Paul Tseng; Zhi-Quan Luo πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 250 KB

We consider the problem of evaluating a functional expression comprising the nested sums and infimal convolutions of convex piecewise-linear functions defined Ε½ . on the reals. For the special case where the nesting is serial, we give an O N log N time algorithm, where N is the total number of break

On Partial Sums of the Libera Integral O
On Partial Sums of the Libera Integral Operator
✍ Li Jian-Lin; Shigeyoshi Owa πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 151 KB

Let S be the class of functions f z which are analytic and univalent in the open Ε½ . X Ε½ . unit disk U with f 0 s 0 and f 0 s 1. The nth partial sums of the Libera Ε½ . Ε½ . Ε½ . integral operator F z for f z g S are denoted by S z, F . In the present paper, n Ε½ . the starlikeness property of S z, F i

Some applications of the Gamma and polyg
Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals
✍ Junesang Choi; H. M. Srivastava πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 162 KB

## Abstract The Gamma function and its __n__ th logarithmic derivatives (that is, the polygamma or the psi‐functions) have found many interesting and useful applications in a variety of subjects in pure and applied mathematics. Here we mainly apply these functions to treat convolutions of the Rayle

On the coefficients of concave univalent
On the coefficients of concave univalent functions
✍ Farit G. Avkhadiev; Christian Pommerenke; Karl-Joachim Wirths πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract Let __D__ denote the open unit disc and __f__ : __D__ β†’ \documentclass{article} \usepackage{amssymb} \pagestyle{empty} \begin{document} $ \overline {\mathbb C} $ \end{document} be meromorphic and injective in __D__. We assume that __f__ is holomorphic at zero and has the expansion Espe