Inequalities for Special Functions
β Scribed by Ross, D. K.
- Book ID
- 118741900
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1972
- Tongue
- English
- Weight
- 73 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0036-1445
- DOI
- 10.1137/1014075
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π SIMILAR VOLUMES
We establish some inequalities for the Bessel functions of the first kind J x Ε½ . Ε½ . and for the modified Bessel functions I x and K x . Some of these results are obtained using the method of Giordano and Laforgia which is based essentially on the arithmeticαgeometric mean inequality. Other result
By using a recent generalization of the Cauchy-Schwarz inequality we obtain several new inequalities for some basic special functions such as beta and incomplete beta functions, gamma, polygamma and incomplete gamma functions, error functions, various kinds of Bessel functions, exponential integral