Integral Formulas Involving Product of Srivastava's Polynomials and Galue type Struve Functions
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
The aim of this paper is to establish two general nite integral formulas involving the product of Galu e type Struve functions and Srivastava's polynomials. The results are given in terms of generalized (Wright's) hypergeometric nctions. These results areobtained with the help of nite integrals due to Oberhettinger and Lavoie-Trottier. Someinteresting special cases of the main results are also considered. The results presented hereare of general character and easily reducible to new and known integral formulae.
Abstract
The aim of this paper is to establish two general nite integral formulas involving the product of Galu e type Struve functions and Srivastava's polynomials. The results are given in terms of generalized (Wright's) hypergeometric nctions. These results areobtained with the help of nite integrals due to Oberhettinger and Lavoie-Trottier. Someinteresting special cases of the main results are also considered. The results presented hereare of general character and easily reducible to new and known integral formulae.
참고문헌 (24)
- A. Baricz, "Geometric properties of generalized Bessel functions", Publ. Math. Debre-cen, 73(1-2), pp.155~178 (2008)
- A. Baricz, "Generalized Bessel functions of the first kind, Lect. Notes Math", pp.2010~ (1994), Springer-Verlag
- K. N. Bhowmick, "Some relations between a generalized Struve's function and hyper-geometric functions", Vijnana Parishad Anusandhan Patrika, 5, pp.93~99 (1962)
- K. N. Bhowmick, "A generalized Struve function and its recurrence formula", Vijnana Parishad Anusandhan Patrika, 6, pp.1~11 (1963)
- C. Fox, "The asymptotic expansion of generalized hypergeometric functions", Proc. Lon-don Math. Soc., 27(5), pp.389~400 (1928)
- B. N. Kanth, "Integrals involving generalised Struve's function", Nepali Math. Sci. Rep, 6, pp.61~64 (1981)
- J. L. Lavoie, "On the sum of certain Appell series", Ganita, 20, pp.43~66 (1969)
- N. Menaria, "Integral formulas involving product of gen-eral class of polynomials and generalized Bessel function", Sohag J. Math, 3(2), pp.77~81 (2016)
- K.S. NISAR, "Pathway fractional integral operator associated with struve function of first kind", Advanced Studies in Contemporary Mathematics, 26(1), pp.63~70 (2016), 장전수학회
- Kottakkaran Sooppy Nisar, "Fractional calculus and application of generalized Struve function", SpringerPlus, 5(1) (2016), Springer Science and Business Media LLC[DOI]
- K.S. NISAR, "SOME UNIFIED INTEGRALS ASSOCIATED WITH THE GENERALIZED STRUVE FUNCTION", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(2), pp.261~267 (2017), 장전수학회[DOI]
- F. Oberhettinger, "Tables of Mellin transforms" (1974), Springer-Verlag
- H. Orhan, "Starlikeness and convexity of generalized Struve functions", Abstr. Appl, Anal, pp.6~ (2013)
- H. Orhan, "Geometric properties of generalized Struve functions", An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N. S. ), 63, pp.229~244 (2017)
- S. D. Purohit, "Marichev-Saigo-Maeda fractional integration operators of the Bessel functions", Matematiche(Catania), 67(1), pp.21~32 (2012)
- R. P. Singh, "Some integral representation of generalized Struve's function", Math. Ed. (Siwan), 22, pp.91~94 (1988)
- R. P. Singh, "Infinite integral involving generalized Struve function", Math. Ed. (Siwan), 23, pp.30~36 (1989)
- H. M. Srivastava, "A contour integral involving Fox's H-function", Indian J. Math, 14, pp.1~6 (1972)
- H. M. Srivastava, "Zeta and q-Zeta functions and associated series and integrals" (2012), Elsevier Science Publishers
- H. M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons
- D. L. Suthar, "Certain integrals associated with the generalized Bessel-Maitland function", Appl. Appl. Math, 12(2), pp.1002~1016 (2017)
- D. L. Suthar, "Generalized fractional calculus of the multiindex Bessel function", Math. Nat. Sci, 1, pp.26~32 (2017)
- D. L. Suthar, "Unified integrals formulas involving product of Srivastava's polynomials and generalized Bessel-Maitland function", Int. J. Sci. Res, 6(2), pp.708~710 (2017)
- E. M. Wright, "The asymptotic expansion of the generalized hypergeometric functions", J. London Math. Soc, 10, pp.286~293 (1935)
