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| McBride E.B. - Obtaining Generating Functions |
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| Предметный указатель |
Hermite polynomials, associated operator 73
Hermite polynomials, bilinear generating function 15 16
Hermite polynomials, definition 3
Hermite polynomials, differential recurrence relations 62 67
Hermite polynomials, generating functions 3 13-16 64 68
Hermite polynomials, hypergeometric form 10
Hermite polynomials, series form 6
Hermite, C. 3 97
Hochstadt, H. 23 98
Hypergeometric function 19
Inverse Laplace transform 89 90
Jordan, C. 75 98
Krall, H. L. 47 49 98
Kummer's first formula 41
Laguerre polynomials 25-42
Laguerre polynomials, associated operator 73
Laguerre polynomials, bilateral generating function 19 37 42 55 92 93
Laguerre polynomials, bilinear generating function 16 17 40 42
Laguerre polynomials, definition 4
Laguerre polynomials, differential recurrence relations 25
Laguerre polynomials, generating functions 4 16 17 19 35-37 39-42 83 93
Laguerre polynomials, hypergeometric form 10
Laguerre polynomials, integrated form of generating function 83
Laguerre polynomials, series form 9
Laguerre, E. N. 4 98
Laplace transform 90
Legendre polynomials 3 81
Legendre, A. M 3 98
Lie group 27 29 44 47 51
Lie, S. 27 98
Magnus, W. 3 23 97 98
Meixner, J. 23 98
Miller, F.H. 32 33 98
Miller, w., jr. 56 96 98
| Milne - Thomson, L. M. 63 98
Modified Laguerre polynomial, bilateral generating function 22 46 96
Modified Laguerre polynomial, bilinear generating function 18 22 23
Modified Laguerre polynomial, definition 4
Modified Laguerre polynomial, differential recurrence relations 43
Modified Laguerre polynomial, generating functions 4 12 14 15 17 18 21-23 43-46 96
Modified Laguerre polynomial, relation to Charlier polynomials 23 68-71
Modified Laguerre polynomial, series form 9
Morse, P.M. 37 98
Oberhettinger, F. 97 98
Obrechkoff, N. 79 98
Rainville, E.D. 5 6 10-12 14-17 19 21 35-37 39-41 52-55 64 73 76 87 89 91 98
Rainville's methods 13-24
Reversed polynomial 75
Series manipulation 6
Sheffer 1-type m polynomials 73
Sheffer 1-type zero polynorftigls 72 73
Sheffer, I. M. 73 98
Simple Laguerre polynomials, bilateral generating functions 21
Simple Laguerre polynomials, bilinear generating function 20 21
Simple Laguerre polynomials, definition 4
Simple Laguerre polynomials, generating function 4 11 12 21 89
Simple Laguerre polynomials, inverse Laplace transform 89
Sneddon, I. N. 4 98
Talman, J.D. 96 98
Tricomi, F.G. 97
Truesdell, C. 6 14 35 36 57 59-61 64 68 70 71
Truesdell's method 57-71
Vilenkin, N.J. 96 98
Viswanathan, B. 56 98
Watson, G.N. 5 98
Weisner, L. 5 14 15 19 25 37 64 68 98
Weisner's method 25-56
Whittaker, E. T. 5 98
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