Some double integral formulae associated with Q function and Galue-type struve function. (English) Zbl 1497.33016
Chadli, Ouayl (ed.) et al., Mathematical analysis and applications, MAA 2020. Selected papers based on the presentations at the conference, Jamshedpur, India, November 2–4, 2020. Singapore: Springer. Springer Proc. Math. Stat. 381, 281-291 (2021).
Summary: In this study, with the aid of Edward’s double integral formula, we establish some double integral formula; our results are associated with Q function and Galue-type Struve function. We often examine their special cases in the form of recognized functions such as the generalized Mittag-Leffler function and the generalized Struve function. The findings of our present paper would be both useful and helpful in the study of applied science and engineering problems.
For the entire collection see [Zbl 1492.26003].
For the entire collection see [Zbl 1492.26003].
MSC:
| 33E12 | Mittag-Leffler functions and generalizations |
Keywords:
Mittag-Leffler function; Galue-type struve function; generalized struve function; Q-functionReferences:
| [1] | Ali, M.; Khan, WA; Khan, IA, Study on double integral operator associated with generalized Bessel-Maitland function, Palest. J. Math., 9, 2, 991-998 (2020) · Zbl 1450.33010 |
| [2] | Bhatnagar, D.; Pandey, RM, A study of some integral transforms on Q function, South East Asian J. Math. Math. Sci., 16, 1, 99-110 (2020) · Zbl 1463.33041 |
| [3] | Chouhan, A.; Saraswat, S., Some remarks on generalized Mittag-Leffler function and fractional operators, Adv. Appl. Math. Anal., 6, 2, 131-139 (2011) |
| [4] | Edward, J.: A Treatise on the Integral Calculus, vol. II. Chelsea Publication Company, New York (1922) |
| [5] | Haq, S.; Khan, AH; Nisar, KS, Certain unified double integrals associated with the generalized Lommel-Wright function, Palest. J. Math., 9, 1, 420-426 (2020) · Zbl 1433.30003 |
| [6] | Haubold, H.J., Mathai, A.M., Saxena, R.K.: Mittag-Leffler functions and their applications. J. Appl. Math. (2011). doi:10.1155/2011/298628 · Zbl 1218.33021 |
| [7] | Khan, M.A., Ahmed, S.: On some properties of the generalized Mittag-Leffler function. Springerplus 337(2) (2013) · Zbl 1291.26005 |
| [8] | Kim, I.; Jun, S.; Vyas, Y.; Rathie, AK, On an extension of Edward’s double integral with applications, Aust. J. Math. Anal. Appl., 16, 2, 1-13 (2019) · Zbl 1438.33006 |
| [9] | Mathai, A.M., Saxena, R.K., Haubold, H.J.: The H-Function: Theory and Applications. Springer Science, New York (2010) · Zbl 1181.33001 |
| [10] | Mazhar-ul-Haque, M.; Holambe, TL, A Q function in fractional calculus, J. Basic Appl. Res. Int. International Knowledge Press, 6, 4, 248-252 (2015) |
| [11] | Mittag-Leffler, G.: Sur laNouvelle Fonction E(x). Comptes Rendus de 1A-cademie des Sciences Paris 137, 554-558 (1903) · JFM 34.0435.01 |
| [12] | Nisar, K.S., Baleanu, D., Qurashi, M.M.A.: Fractional calculus and application of generalized Struve function. Springerplus (2016). doi:10.1186/s40064-016-2560-3 |
| [13] | Orhan, H., Yagmur, N.: Starlike and convexity of generalized Struve function. Abstr. Appl. Anal. (2013) Art. ID 954513:6 · Zbl 1272.30033 |
| [14] | Orhan, H., Yagmur, N.: Geometric properties of generalized Struve functions. Analele stiintifice ale universitatii Al l Cuza din lasi- Matematica (2014). doi:10.2478/aicu-2014-0007 |
| [15] | Pohlen, T.: The Hadamard product and universal power series. Ph.D. thesis, Universitat Trier, Trier, Germany (2009) |
| [16] | Prabhakar, TR, A singular integral equation with a generalize Mittag-Leffler function in the Kernel, Yokohama Math. J., 19, 7-15 (1971) · Zbl 0221.45003 |
| [17] | Saxena, R.K., Parmar, R.K.: Fractional integration and differentiation of the generalized Mathieu series. Axioms, MDPI (2017) · Zbl 1422.33002 |
| [18] | Shukla, AK; Prajapati, JC, On a generalization of Mittag-Leffler function and its properties, J. Math. Anal. Appl., 2, 797-811 (2007) · Zbl 1122.33017 · doi:10.1016/j.jmaa.2007.03.018 |
| [19] | Srivastava, H.M., Choi, J.: Zeta and q-Zeta Functions and Associated Series and Integrals. Elsevier Science Publishers, Amsterdam (2012) · Zbl 1239.33002 |
| [20] | Wiman, A., Uber den Fundamental Satz in der Theorie der Funktionen E(x), Acta Math., 29, 191-201 (1905) · JFM 36.0471.01 · doi:10.1007/BF02403202 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
