Generating functions in transmutation theory

1 deAlfaro, V.; Regge, T. Potential scattering North-Holland, Amsterdam 1965 MR0191316 100 Cache/de/deAlfaro,scattering,*,1965,1966 ix+205 2 Carroll, R.; Delie, G., Some remarks on Newton-Sabatier methods, to appear MR0973554

3 Bragg, L.; Dettman, J. Analogous function theories for the heat, wave, and Laplace equations Rocky Mountain J. Math. 13 1983 191-214 MR0702817 100 Cache/Br/Bragg,Analogous,Rocky*,1983,1984

4 Buchholz, H. The confluent hypergeometric function Springer, New York 1969 MR0240343 xviii+238

5 Burdet, G.; Giffon, M.; Predazzi, E. On the inversion problem in the $\lambda$-plane Nuovo Cimento 36 1965 1337-1347 MR0193926 88 Cache/Bu/Burdet,inversion,Nuovo*,1965,1966

6 Carroll, R. Transmutation theory for certain radial operators Proc. Japan Acad. 59 1983 51-54 MR0696749 100 Cache/Ca/Carroll,Transmutation,Proc*,1983,1984

7 Carroll, R. Transmutation via the momentum plane Math. Meth. Appl. Sci. 6 1984 467-495 MR0771806 100 Cache/Ca/Carroll,Transmutation,Math*,1984,1985

8 Carroll, R. Some remarks on the Bergman-Gilbert operator J. Math. Pures Appl. 63 1984 1-14 MR0776908 85 Cache/Ca/Carroll,Bergman-Gilbert,J*,1984,1985

9 Carroll, R. Some topics in transmutation North-Holland Math. Studies, no. 92 1984 87-104 MR0799338

10 Carroll, R. The Bergman-Gilbert operator as a transmutation CR Royal Soc. Canada 4 1982 267-269 MR0675129 Cache/Ca/Carroll,Bergman-Gilbert,CR*,1982,1983

11 Carroll, R. Partial differential equation techniques in transmutation Applicable Anal. 17 1983 51-62 MR0727898 Cache/Ca/Carroll,transmutation,Applicable,*,1983,1984

12 Carroll, R. Patterns and structure in systems governed by linear second order differential equations Acta Appl. Math. 6 1986 109-184 MR0842020 90 Cache/Ca/Carroll,structure,Acta*,1986,1987

13 Carroll, R. Transmutation theory North-Holland, Amsterdam 1985 xii+351 MR807146 14 Carroll, R. Transmutation, scattering theory, and special functions North-Holland, Amsterdam 1982 MR0677111 100 Cache/Ca/Carroll,Transmutation,,*,1982,1983 x+457 15 Carroll, R. Transmutation and operator differential equations North-Holland, Amsterdam 1979 MR0541299 100 Cache/Ca/Carroll,Transmutation,*,1979,1980 x+245

16 Carroll, R. Some remarks on orthogonal polynomials and transmutation methods Boll. Un. Mat. Ital. B. 5 1986 465-486 MR0860639 100 Cache/Ca/Carroll,transmutation,Boll*,1986,1987

17 Carroll, R.; Dolzycki, S. Some remarks on a canonical Marčenko equation Applicable Anal. 19 1985 189-200 MR0800169 87 Cache/Ca/Carroll,canonical,Applicable*,1985,1986

18 Carroll, R. On a transform theory involving Whittaker functions Applicable Anal. 16 1983 85-90 MR0709812 100 Cache/Ca/Carroll,transform,Applicable*,1983,1984

19 Chadan, K.; Sabatier, P. Inverse problems in quantum scattering theory Springer, New York 1977 MR0522847 100 Cache/Ch/Chadan,scattering,*,1977,1978 xxii+344 20 Colton, D. Analytic theory of partial differential equations Pitman Press, London 1980 MR0614751 100 Cache/Co/Colton,Analytic,*,1980,1981 xii+239

21 Colton, D.; Wimp, J. Analytic solutions of the heat equation and some formulas for Laguerre and Hermite polynomials Complex Variables 3 1984 397-412 MR0755601 100 Cache/Co/Colton,polynomials,Complex*,1984,1985

22 Courant, R.; Hilbert, D. Methods of mathematical physics, Vol. 1 Wiley-Interscience, New York 1953 MR0065391 83 Cache/Co/Courant,mathematical,*,1953,1954 xv+561 23 Erdélyi, A. Tables of integral transforms 1 McGraw-Hill, N.Y. 1954 MR0061695 83 Cache/Er/Erdélyi,transforms,*,1954,1955 xx+391 24 Erdélyi, A. Higher transcendental functions, Vol. 3 McGraw-Hill, N.Y. 1955 MR0066496 xvii+292 25 Gilbert, R. Constructive methods for elliptic equations Springer Lect. Notes 365 1974 MR0447784 100 Cache/Gi/Gilbert,Constructive,*,1974,1975 vii+397

26 Jones, D. The Kontorovič-Lebedev transform J. Inst. Math. Appl. 26 1980 133-141 MR0594524

27 Kontorovič, M.; Lebedev, N. On a method of solving some problems in the theory of diffraction and related problems Žur. Eksp. Teor. Fiz. 10 1938 1192-1206 Data is not found in MathSci. Cache/Ko/Kontorovi\check,diffraction,\checkZur*,1938,1939

28 Levitan, B. Inverse quantum scattering theory at fixed energy Sel. Math. Sov. 2 1982 379-418 Data is not found in MathSci. Cache/Le/Levitan,scattering,Sel*,1982,1983

29 Loeffel, J. On the inverse problem in potential scattering theory Ann. Inst. H. Poincaré 8 1968 339-447 MR0237152 87 Cache/Lo/Loeffel,scattering,Ann*,1968,1969

30 Magnus, W.; Oberhettinger, F.; Soni, R. Formulas and theorems for the special functions of mathematical physics Springer, New York. 1966 MR0232968 100 Cache/Ma/Magnus,mathematical,*,1966,1967 viii+508 31 McBride, E. Obtaining generating functions Springer, New York 1971 MR0279355 100 Cache/Mc/McBride,generating,*,1971,1972 viii+100 32 Miller, W. Lie theory and special functions Academic Press, N.Y. 1968 MR0264140 100 Cache/Mi/Miller,functions,*,1968,1969 xv+338

33 Newton, R. Construction of potentials from the phase shifts at fixed energy J. Math. Physics 3 1962 75-82 MR0138364 100 Cache/Ne/Newton,Construction,J*,1962,1963

34 Newton, R. Connections between complex angular momentum and the inverse scattering problem at fixed energy J. Math. Physics 8 1967 1566-1570 Data is not found in MathSci. Cache/Ne/Newton,Connections,J*,1967,1968

35 Newton, R. The complex $j$-plane Benjamin, New York 1964 MR0168271 viii+235 36 Oberhettinger, F. Tables of Mellin transforms Springer, New York 1974 MR0352890 100 Cache/Ob/Oberhettinger,transforms,*,1974,1975 v+275 37 Rainville, E. Special functions MacMillan, New York 1960 MR0107725 100 Cache/Ra/Rainville,functions,*,1960,1961 xii+365

38 Sabatier, P. Interpolation formulas in the angular momentum plane J. Math. Physics 8 1967 1957-1972 MR0223141 100 Cache/Sa/Sabatier,Interpolation,J*,1967,1968

39 Sabatier, P. Approach to scattering problems through interpolation formulas and applications to spin orbit potentials J. Math. Physics 9 1968 1241-1258 Data is not found in MathSci. Cache/Sa/Sabatier,interpolation,J*,1968,1969

40 Srivastava, H.; Manocha, H. A treatise of generating functions Halsted-Wiley, New York 1984 MR0750112 100 Cache/Sr/Srivastava,generating,*,1984,1985 569 41 Truesdell, C. A unified theory of special functions Princeton Univ. Press 1948 MR0023960 iv+182 42 Vekua, I. New methods for solving elliptic equations North-Holland, Amsterdam 1967 MR0212370 100 Cache/Ve/Vekua,elliptic,*,1967,1968 xii+358 43 Vilenkin, N. Special functions and the theory of group representations Moscow 1965 MR0209523 xvii+449 44 Watson, G. A treatise on the theory of Bessel functions Cambridge Univ. Press 1944 MR0010746 vi+804

45 Weisner, L. Group theoretic origins of certain generating functions Pacific. J. Math. 5 1955 1033-1039 MR0086905 83 Cache/We/Weisner,generating,Pacific*,1955,1956

46 Weisner, L. Generating functions for Hermite functions Canad. J. Math. 11 1959 141-147 MR0109903 100 Cache/We/Weisner,Generating,Canad*,1959,1960

47 Weisner, L. Generating functions for Bessel functions Canad. J. Math. 11 1959 148-155 MR0109904 100 Cache/We/Weisner,Generating,Canad*,1959,1960

48 Wimp, J. Integral transforms involving Whittaker functions Glasnik. Mat. 6 1971 67-70 MR0298352 100 Cache/Wi/Wimp,transforms,Glasnik*,1971,1972