Haidey V. On the class of multiparameter functions of the hypergeometric type and their application.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U001657

Thesis Registration Form

0403U001657.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-04-2003

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis is devoted to investigation of the class of multiparameter functions of the hypergeometric type. The investigation is based on differential equations, satisfied by these functions. It is introduced and studied multiparameter function of Mittag-Leffler type and the generalized (according to Wright) hyper-Bessel function. Recurrence, differential and integral relations for the multiparameter function are established. The differential equation, satisfied by the multiparameter function of Mittag-Leffler type with rational parameters is constructed. It is proved the theorem about the existence and uniqueness of the solution of the initial type problem for fractional order differential equation. Some integral representations are constructed. Multivariate integral equations are solved.

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Files

00_Titul.doc

01_Zmist.doc

02_Perelik.doc

03_R_00.doc

04_R_01.doc

05_R_02.doc

05_R_02.doc

06Roz_3.doc

07_Roz_4.doc

08_Vysnovky.doc

09_Literature.doc

10_Dodatok_A.doc

11_Dodatok_B.doc

12_Dodatok_V.doc

Autoref.doc

Autoref_tyt.doc

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