On the real zeros of functions of Mittag-Leffler type

Mathematical Notes

Volumn 77, Issue 3-4, 2005, Pages 546-552

  Pskhu, A V ^a  

^a INSTITUTE OF APPLIED MATHEMATICS AND AUTOMATION   (Russian Federation)

Author keywords

Functions of Mittag Leffler type; Real zeros of Mittag Leffler functions; Stanhovich transformation; Wright function

Indexed keywords

EID: 20244371967     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11006-005-0054-7     Document Type: Article

References (10)

1. A. Yu. Popov and A. M. Sedletskii, "The distribution of the zeros of a function of Mittag-Leffler type," Dokl. Rosa. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 390 (2003), no. 2, 165-168.
2. A. M. Sedletskii, "Nonasymptotic properties of roots of a Mittag-Leffler type function," Mat. Zametki [Math. Notes], 75 (2004), no. 3, 405-420.
3. A. M. Nakhushev, Fractional Calculus and Its Application [in Russian], Fizmatlit, Moscow, 2003.
4. A. V. Pskhu, "Integral transformation with Wright's function in the kernel," Dokl. Adygskoi (Cherkes.) Mezhdunar. Akad. Nauk, 6 (2002), no. 1, 35-47.
5. B. Stanković, "O jednoi klasi singularnih integralnih jednacina," Sbornik Radova SAN-43, Mathematics Institute SAN, 4 (1955), 81-130.
6. E. M. Wright, "The generalized Bessel function of order greater than one," Quart. J. Math. (Oxford), 11 (1940), 36-48.
7. A. V. Pskhu, "Solution of a boundary-value problem for a partial differential equation of fractional order," Differentsial'nye Uravneniya [Differential Equations], 39 (2003), no. 8, 1092-1099.
8. M. A. Lavrent'ev and B. V. Shabat, Methods of the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow, 1987.
9. M. M. Dzhrbashyan, Integral Transformations and Representations of Functions in the Complex Domain [in Russian], Nauka, Moscow, 1966.
10. B. Stanković, "On the function of E. M. Wright," Publ. Inst. Math. Belgrade, 10 (1970), no. 24, 113-124.