We denote by A, the class of all analytic functions f in the unit disc โ = {z โ C : |z| < 1} with the normalization f (0) = f โฒ (0) -1 = 0. For a positive number ฮป > 0, we denote by โ A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on ฮป, ฮฑ and ฮณ such tha
Sufficient conditions for hypergeometric functions to be in a certain class of analytic functions
โ Scribed by A. Swaminathan
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 421 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
## Abstract Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)yโณ(t)]โณ+f(t,y(h~1~(t)), y(h~2~(t)), โฆ, y(h~n~(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.
## Abstract Let 1 < __s__ < 2, __ฮป~k~__ > 0 with __ฮป~k~__ โ โ satisfy __ฮป__~__k__+1~/__ฮป~k~__ โฅ __ฮป__ > 1. For a class of Besicovich functions __B__(__t__) = $ \sum ^{\infty} \_{k=1} \, \lambda ^{s-2} \_{k} $ sin __ฮป~k~t__, the present paper investigates the intrinsic relationship between box dimen