Ͳ ֲ

.³,

 

- - , - . - -

, . , , , , , .

, , , . [1].

, . , . ó , , , , , , , . , [2]. , , - . , . - (N-) [3].

[4]

. (1)

[5].

1.    

(2)

- [2].

(3)

(4)

(5)

- [1], [6]:

(6)

2.     .

:

(7)

, - , - - :

(8)

(5) .

(7) :

(9)

(10)

(7) .

1.

(11)

:

(12)

(13)

,

(14)

(15)

, (12), (13), .

2. (7) (10):

(16)

, , , (15), (14),

. ( ):

(17)

,

(12) (16).

(7).

.

(7) :

(18)

- , - ,

- (15),

. [2]:

(19)

(14). , :

(20)

, , (18).

 

1.           ., . . .1. .:

. 1965. 296 .

2.     Kilbas A.A., Saigo M. H-Transforms. Chapman and Hall/CRC, 2004. 390 p.

 

3.     ³ . (N-) . .: . 2009. 476 .

4.                Kuipers L. Meulenbeld B. On a generalization of Legendres associated

differential equation//Proc. Konkl. Akad. Weten. A-60. 1957. 4. P.436-450.

5.                Virchenko N., Fedotova I. Generalized Associated Legendre Functions and Their

Applications. Singapore: World Sci., 2001. 196 p.

6.                Virchenko N. On the generalized confluent hypergeometric function and its

application// J. Fract. Calculus and Appl. Anal. 2006. 9, N2. P. 101 108.