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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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