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@article{JSFU_2024_17_5_a4, author = {Ulfat Ansari and Musharraf Ali and Mohd Ghayasuddin}, title = {On generalized {Voigt} function and its associated properties}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {599--608}, publisher = {mathdoc}, volume = {17}, number = {5}, year = {2024}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a4/} }
TY - JOUR AU - Ulfat Ansari AU - Musharraf Ali AU - Mohd Ghayasuddin TI - On generalized Voigt function and its associated properties JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2024 SP - 599 EP - 608 VL - 17 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a4/ LA - en ID - JSFU_2024_17_5_a4 ER -
%0 Journal Article %A Ulfat Ansari %A Musharraf Ali %A Mohd Ghayasuddin %T On generalized Voigt function and its associated properties %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2024 %P 599-608 %V 17 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a4/ %G en %F JSFU_2024_17_5_a4
Ulfat Ansari; Musharraf Ali; Mohd Ghayasuddin. On generalized Voigt function and its associated properties. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 599-608. http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a4/
[1] A.Erdélyi, W.Magnus, F.Oberhettinger, F.G.Tricomi, Table of integral transforms, v. 1, McGraw-Hill, New York, 1954 | MR
[2] M.El-Shahed, A.Salem, “An extension of Wright function and its properties”, J. Math., 2015 (2015) | DOI | MR | Zbl
[3] K.Gupta, A.Gupta, “On the study of unified representations of the generalized Voigt functions”, Palestine J. Math., 2:1 (2013), 32–37 | MR | Zbl
[4] M.Ghayasuddin, J.Choi, N.U.Khan, “A multiindex and multivariable generalization of the Voigt functions”, Far East J. Math. Sci., 101:6 (2017), 1167–1181 | Zbl
[5] S.B.Joshi, S.S.Joshi, H.H.Pawar, D.Ritelli, “Connections between normalized Wright functions with families of analytic functions with negative coefficients”, Analysis, 42:2 (2022) | DOI | MR
[6] V.Kiryakova, “Some special functions related to fractional calculus and fractional (non-integer) order control systems and equations”, Facta Univ. Ser. Autom. Control Robot., 7:1 (2008), 79–98 | MR
[7] D.Klusch, “Astrophysical Spectroscopy and neutron reactions, integral transforms and Voigt functions”, Astrophys. Space Sci., 175 (1991), 229–240 | DOI | MR
[8] N.U.Khan, T.Usman, M.Aman, “Some properties concerning the analysis of generalized Wright function”, J. Compu. Appl. Math., 376 (2020) | DOI | MR
[9] N.U.Khan, M.Kamarujjama, M.Ghayasuddin, “A generalization of Voigt function involving generalized Whittaker and Bessel functions”, Palestine J. Math., 4:2 (2015), 313–318 | MR | Zbl
[10] I.Podlubny, Fractional differential equations, Academic Press, New York, USA, 1999 | MR | Zbl
[11] F.Reiche, “Uber die Emission, Absorption und Intesitatsverteilung von Spektrallinien”, Ber. Deutsch. Phys. Ges., 15 (1913), 3–21
[12] E.D.Rainville, Special functions, Macmillan Company, New York, 1960 ; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971 | MR | Zbl | Zbl
[13] H.M.Srivastava, E.A.Miller, “A unified presentation of the Voigt functions”, Astrophys. Space Sci., 135 (1987), 111–118 | DOI | MR | Zbl
[14] H.M.Srivastava, H.L.Manocha, A treatise on generating functions, Halsted Press (Ellis Horwood Limited), Chichester; John Wiley and Sons, New York–Chichester–Brisbane–Toronto, 1984 | MR | Zbl
[15] H.M.Srivastava, M.A.Pathan, M. Kamarujjama, “Some unified presentations of the generalized Voigt functions”, Comm. Appl. Anal., 2 (1998), 49–64 | MR | Zbl
[16] H.M.Srivastava, M.G.Bin-Saad, M.A.Pathan, “A new theorem on multidimensional generating relations and its applications”, Proc. Jangjeon Math. Soc., 10:1 (2007), 7–22 | MR | Zbl