Generalized hankel transform no space

References

• Betancor , J.J . 1989 . On the boundedness and the range of the Lommel-Maitland transformation . Bull .soc. Roy, sci , Liege , 58 ( 1 ) : 3 – 11 .
   Google Scholar
• Betancor , J.J . 1990 . On the Watson -Wright transformation on certain weighted Lp-spaccs . Rev.Acad.Canaria cienc. , 58 ( 1 ) : 27 – 38 .
   Google Scholar
• Betancor , J.J and Negrin , E.R. 1990 . The generalized Bessel transformations on the spaces of distributions . J.Korean Math .soc . , 27 ( 1 ) : 129 – 135 .
   Google Scholar
• Betancor , J.J and Jerez diaz , C. 1994 . Boundedness and range of H-transformation on certain weighted -Lp-spaces Serdica . 20 ( 3-4 ) : 269 – 297 .
   Google Scholar
• Erdlyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F.G . 1953 . Higher transcendental Functions , Vol. II , New York-Toronto-London : McGraw-Hill .
   Google Scholar
• Glaeske , H.J. and Kilbas , A.A . 1998 . Bessel-type integral transforms on spaces . Resulte in Math. , 34 ( 3-4 ) : 320 – 328 .
   Google Scholar
• Glaeske , H.J. , Kilbas , A.A , Saigo , M. and shlapakov , S.A. 1997 . theory of integral transformations with the H-function in the kernel . Dokl .Akad .Nauk Belarusi , 41 ( 2 ) : 10 – 15 .
   Web of Science ®Google Scholar
• Heywood , P. and Rooney , P.G . 1998 . On the Hankel and some related transformation . Can J.Math. , 40 ( 4 ) : 989 – 1009 .
   Google Scholar
• Heywood , P. and Rooney , P.G . 1990 . On the inversion of the extended Hackel tracsformations . J.Math.Anal .Appl , 160 ( 1 ) : 284 – 302 .
   Web of Science ®Google Scholar
• Heywood , P. and Rooney , P.G . 1994 . On the struve transformation . SIAM J.Math.Anal. , 25 ( 2 ) : 450 – 461 .
   Web of Science ®Google Scholar
• Kilbas , A.A. , Saigo , M. and Shlapakov , S.A. 1993 . Integral transforms with Fox's H-function in spaces of summable functions . Integral Transforms Spec. Funct. , 1 ( 2 ) : 87 – 103 .
   Google Scholar
• Kilbas , A.A. , Saigo , M. and Shlapakov , S.A. 1993 . Integral transforms with Fox's H-function in -spaces . Fukuoka Univ. Sci. Rep. , 23 ( 1 ) : 9 – 31 .
   Google Scholar
• Kilbas , A.A. , Saigo , M. and Shlapakov , S.A. 1994 . Integral transforms with Fox's H-function in -spaces . II Fukuoka Univ. Sci. Rep. , 24 ( 1 ) : 13 – 38 .
   Google Scholar
• Kratzel , E. 1965 . Eine Verallgemeinerung der Laplace- und Meijer-Transformation . Wiss. Z. Friedrich-Schiller-Univ. Jena/Thuringer , 14 ( 1 ) : 369 – 381 .
   Google Scholar
• Kratzel , E. 1979 . Integral transformations of Bessel-type, In: Generalized Functions and Operational Calculus . Bulg. Acad. Sci. Sofia , 14 ( 1 ) : 148 – 155 .
   Google Scholar
• Prudnikov , A.P. , Brychkov , Yu.A. and Marichev , O.I. 1990 . Integrals and Series , Vol. 3 , New York et alibi : Gordon and Breach . More Special Functions
   Google Scholar
• Rooney , P.G. 1972 . On the ranges of certain fractional integrals . Can. J. Math. , 24 ( 6 ) : 1198 – 1216 .
   Google Scholar
• Rooney , P.G. 1973 . A technique for studying the boundedness and extendability of certain types of operatotrs . Can J. Math. , 25 ( 5 ) : 1090 – 1102 .
   Google Scholar
• Rooney , P.G. 1979 . On the range of the Hankel transformation . Bull. London Math. Soc. , 11 ( 1 ) : 45 – 48 .
   Google Scholar
• Rooney , P.G. 1980 . On the Yν and Hν transformations . Can. J. Math. , 32 ( 5 ) : 1021 – 1044 .
   Web of Science ®Google Scholar
• Rooney , P.G. 1980 . On the boundedness and range of the extended Hankel transformation . Canad. Math. Bul. , 23 ( 3 ) : 321 – 325 .
   Google Scholar
• Rooney , P.G. 1982/83 . On integral transformations with G-function kernels . Proc. Royal Soc. Edinburgh, Sect. A , 93 ( 3–4 ) : 265 – 297 .
   Google Scholar
• Rooney , P.G. 1994 . On the range of an integral transformation . Canad. Math. Bul. , 37 ( 4 ) : 545 – 548 .
   Web of Science ®Google Scholar
• Rooney , P.G. 1995 . On the representation of functions by the Hankel and some related transformations . Proc. Royal Soc. Edinburgh, Sect. A , 125 ( 3 ) : 449 – 463 .
   Google Scholar
• Samko , S.G. , Kilbas , A.A. and Marichev , O.I. 1993 . Fractional Integrals and Derivatives. Theory and Applications , 0Yverdon et alibi : Gordon and Breach .
   Google Scholar
• Shlapakov , S.A. , Saigo , M. and Kilbas , A.A. 1998 . On inversion of H-transform in -space . Internat. J. Math. Math. Sci. , 21 ( 4 ) : 713 – 722 .
   Google Scholar