- 期刊
CERTAIN INTEGRALS INVOLVING LOGARITHMIC AND EXPONENTIAL FUNCTIONS
摘要
In this paper we have evaluated the integrals □_0^∞ x^(n-1) In x exp(-ax-bx^(-1))dx and □_0^∞ x^(n-2)(ax^2-b)(In x)^2 exp(-ax-bx^(-1))dx for all n =1,2,3,.... Some applications of the results are discussed and an open problem is posed.
延伸閱讀
- Chaurasia, V. B. L., & Dubey, R. S. (2013). Definite Integrals of Generalized Certain Class of Incomplete Elliptic Integrals. Tamkang Journal of Mathematics, 44(2), 197-208. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201306-201306180007-201306180007-197-208
- Choi, J., & Agarwal, P. (2014). Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions. Abstract and Applied Analysis, 2014(), 372-378-1240. https://doi.org/10.1155/2014/735946
- Kiliçman, A., & Eltayeb, H. (2010). On a New Integral Transform and Differential Equations. Mathematical Problems in Engineering, 2010(), 95-107-106. https://doi.org/10.1155/2010/463579
- NASIM, C. (1983). IDENTITIES INVOLVING ITERATED INTEGRAL TRANSFORMS. International Journal of Mathematics and Mathematical Sciences, 1983(), 111-118. https://doi.org/10.1155/S0161171283000095
- MANDAL, N., & MANDAL, B. N. (1994). EXPANSION OF A CLASS OF FUNCTIONS INTO AN INTEGRAL INVOLVING ASSOCIATED LEGENDRE FUNCTIONS. International Journal of Mathematics and Mathematical Sciences, 1994(), 293-300. https://doi.org/10.1155/S0161171294000438