In this paper we shall offer very general Opial-type inequalities involving higher order derivatives of two functions. From these inequalities we then deduce extended and improved versions of several recent results.
Fractional Derivatives and Expansion Formulas Involving H-Functions of One and More Variables
โ Scribed by C.M. Joshi; N.L. Joshi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 143 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
Certain general fractional derivatives formulas involving the H-function of one and more variables are established that generalize the corresponding results considered by Srivastava and Goyal. This leads us to an extension of the expansion formula for the Lauricella function F ลฝ r . given by Srivastava and Goyal. Various D other analogous formulas are also established. These results are significantly different from Burchnall and Chaundy-type expansions.
๐ SIMILAR VOLUMES
## Abstract New functionalized 1,7โdiarylโ6โcyanoโ1,2,4โtriazolo[4,3โ__a__]pyrimidinโ5(1__H__)โone derivatives (**5aโj**) were synthesized via reaction of 5โcyanoโ6โphenylโ2โthiouracil **1** with the respective hydrazonoyl halides **2aโj** and their biological activity was evaluated. The mechanism