Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions
نویسندگان
چکیده
منابع مشابه
Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions
We apply generalized operators of fractional integration involving Appell's function F 3(·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fraction...
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Let up denote the normalized, generalized Bessel function of order p which depends on two parameters b and c and let λp(x) = up(x), x ≥ 0. It is proven that under some conditions imposed on p, b, and c the Askey inequality holds true for the function λp , i.e., that λp(x) +λp(y) ≤ 1 +λp(z), where x, y ≥ 0 and z = x + y. The lower and upper bounds for the function λp are also established.
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ژورنال
عنوان ژورنال: The Scientific World Journal
سال: 2013
ISSN: 1537-744X
DOI: 10.1155/2013/567132