Harboure, E.; Salinas, O.; Viviani, B. Relations between weighted Orlicz and BMO\(_ \phi \) spaces through fractional integrals. (English) Zbl 1060.46509 Commentat. Math. Univ. Carol. 40, No. 1, 53-69 (1999). Reviewer: Petr Gurka (Praha) MSC: 46E30 26A33 42B25 47G10 PDFBibTeX XMLCite \textit{E. Harboure} et al., Commentat. Math. Univ. Carol. 40, No. 1, 53--69 (1999; Zbl 1060.46509) Full Text: EuDML EMIS
Kilbas, A. A.; Saigo, M.; Glaeske, H.-J. A modified transform of Bessel type and its compositions with operators of fractional integration and differentiation. (Russian. English summary) Zbl 1039.44501 Dokl. Nats. Akad. Nauk Belarusi 43, No. 4, 26-30 (1999). MSC: 44A20 26A33 PDFBibTeX XMLCite \textit{A. A. Kilbas} et al., Dokl. Nats. Akad. Nauk Belarusi 43, No. 4, 26--30 (1999; Zbl 1039.44501)
Ding, Young; Lu, Shanzhen Higher order commutators for a class of rough operators. (English) Zbl 1038.42013 Ark. Mat. 37, No. 1, 33-44 (1999). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{S. Lu}, Ark. Mat. 37, No. 1, 33--44 (1999; Zbl 1038.42013) Full Text: DOI
Al-Shammery, A. H.; Kalla, S. L.; Khajah, H. G. A fractional generalization of the free electron laser equation. (English) Zbl 1033.65118 Fract. Calc. Appl. Anal. 2, No. 4, 501-508 (1999). MSC: 65R20 33C90 45J05 26A33 33C15 PDFBibTeX XMLCite \textit{A. H. Al-Shammery} et al., Fract. Calc. Appl. Anal. 2, No. 4, 501--508 (1999; Zbl 1033.65118)
Luchko, Yuri Operational method in fractional calculus. (English) Zbl 1030.26009 Fract. Calc. Appl. Anal. 2, No. 4, 463-488 (1999). MSC: 26A33 44A40 44A35 45J05 PDFBibTeX XMLCite \textit{Y. Luchko}, Fract. Calc. Appl. Anal. 2, No. 4, 463--488 (1999; Zbl 1030.26009)
Kiryakova, Virginia Multiindex Mittag-Leffler functions, related Gelfond-Leontiev operators and Laplace type integral transforms. (English) Zbl 1111.33300 Fract. Calc. Appl. Anal. 2, No. 4, 445-462 (1999). Reviewer: Om Prakash Singh (Aligarh) MSC: 33C60 26A33 44A15 PDFBibTeX XMLCite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 2, No. 4, 445--462 (1999; Zbl 1111.33300)
Dechevsky, Lubomir T. Atomic decomposition of function spaces and fractional integral and differential operators. (English) Zbl 1030.42018 Fract. Calc. Appl. Anal. 2, No. 4, 367-381 (1999). MSC: 42B35 42B20 26A33 46E35 42C40 PDFBibTeX XMLCite \textit{L. T. Dechevsky}, Fract. Calc. Appl. Anal. 2, No. 4, 367--381 (1999; Zbl 1030.42018)
Peat, R. M.; McBride, A. C. Spaces of smooth functions on \(\mathbb{R}^n\) via spherical harmonics. (English) Zbl 1032.46035 Fract. Calc. Appl. Anal. 2, No. 3, 289-312 (1999). MSC: 46E10 44A15 47G10 26A33 PDFBibTeX XMLCite \textit{R. M. Peat} and \textit{A. C. McBride}, Fract. Calc. Appl. Anal. 2, No. 3, 289--312 (1999; Zbl 1032.46035)
Peat, R. M.; Spratt, W. J.; McBride, A. C. Spaces of smooth functions on \(\mathbb{R}_+\) for Mellin multiplier transforms. (English) Zbl 1032.46036 Fract. Calc. Appl. Anal. 2, No. 3, 277-288 (1999). MSC: 46E10 44A15 26A33 PDFBibTeX XMLCite \textit{R. M. Peat} et al., Fract. Calc. Appl. Anal. 2, No. 3, 277--288 (1999; Zbl 1032.46036)
Nogin, Vladimir A.; Samko, Stefan G. Some applications of potentials and approximative inverse operators in multi-dimensional fractional calculus. (English) Zbl 1032.46508 Fract. Calc. Appl. Anal. 2, No. 2, 205-228 (1999). MSC: 46E35 26A33 47G10 PDFBibTeX XMLCite \textit{V. A. Nogin} and \textit{S. G. Samko}, Fract. Calc. Appl. Anal. 2, No. 2, 205--228 (1999; Zbl 1032.46508)
Karapetyants, Alexey N.; Ramírez de Arellano, Enrique Characterization of anisotropic Lizorkin-type mixed norm spaces generated by degenerate differential operators. (English) Zbl 1032.46507 Fract. Calc. Appl. Anal. 2, No. 2, 193-204 (1999). MSC: 46E35 41A35 43A15 26A33 PDFBibTeX XMLCite \textit{A. N. Karapetyants} and \textit{E. Ramírez de Arellano}, Fract. Calc. Appl. Anal. 2, No. 2, 193--204 (1999; Zbl 1032.46507)
Gorenflo, R.; Luchko, Yu. F.; Zabrejko, P. P. On solvability of linear fractional differential equations in Banach spaces. (English) Zbl 1041.34045 Fract. Calc. Appl. Anal. 2, No. 2, 163-176 (1999). MSC: 34G10 26A33 45J05 47N20 PDFBibTeX XMLCite \textit{R. Gorenflo} et al., Fract. Calc. Appl. Anal. 2, No. 2, 163--176 (1999; Zbl 1041.34045)
Glasser, M. L.; Ismail, M. E. H. A curious expression for the Weyl fractional integral. (English) Zbl 1030.26006 Fract. Calc. Appl. Anal. 2, No. 2, 145-148 (1999). MSC: 26A33 PDFBibTeX XMLCite \textit{M. L. Glasser} and \textit{M. E. H. Ismail}, Fract. Calc. Appl. Anal. 2, No. 2, 145--148 (1999; Zbl 1030.26006)
Samko, Stefan G. Some remarks to the author’s paper “A new approach to the inversion of the Riesz potential operator”. (English) Zbl 1030.31005 Fract. Calc. Appl. Anal. 2, No. 1, 63-66 (1999). MSC: 31B10 47G10 26A33 46E35 PDFBibTeX XMLCite \textit{S. G. Samko}, Fract. Calc. Appl. Anal. 2, No. 1, 63--66 (1999; Zbl 1030.31005)
Liu, Zongguang; Wang, Silei The weak estimates for fractional integration on Herz-type spaces. (Chinese. English summary) Zbl 1019.42011 Acta Math. Sin. 42, No. 5, 923-930 (1999). Reviewer: Yang Dachun (Beijing) MSC: 42B20 42B35 47B38 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{S. Wang}, Acta Math. Sin. 42, No. 5, 923--930 (1999; Zbl 1019.42011)
Li, Ziping Quantal conserved charge in non-Abelian Chern-Simons theories. (English) Zbl 1006.81509 Chin. Sci. Bull. 44, No. 3, 207-210 (1999). MSC: 81T10 81S40 PDFBibTeX XMLCite \textit{Z. Li}, Chin. Sci. Bull. 44, No. 3, 207--210 (1999; Zbl 1006.81509) Full Text: DOI
Srivastava, H. M. The Riemann-Liouville and Weyl operators of fractional calculus and a certain class of expansions involving generalized hypergeometric functions. (English) Zbl 1001.26001 Gill, Tepper (ed.) et al., Fundamental open problems in science at the end of the millennium. Proceedings of the international workshop, Beijing, China, August 1997. Vols. I-III. Palm Harbor, FL: Hadronic Press. 423-454 (1999). MSC: 26A33 33C20 33C70 33B15 33B20 PDFBibTeX XMLCite \textit{H. M. Srivastava}, in: Fundamental open problems in science at the end of the millennium. Proceedings of the international workshop, Beijing, China, August 1997. Vols. I--III. Palm Harbor, FL: Hadronic Press. 423--454 (1999; Zbl 1001.26001)
Jain, Deepak Kumar; Jain, Renu Solution of certain dual integral equations involving \(I\)-function. (English) Zbl 0998.45001 Jñānābha 29, 71-78 (1999). MSC: 45F10 33C60 26A33 PDFBibTeX XMLCite \textit{D. K. Jain} and \textit{R. Jain}, Jñānābha 29, 71--78 (1999; Zbl 0998.45001)
Myrheim, J. Anyons. (English) Zbl 0990.81163 Comtet, A. (ed.) et al., Aspects topologiques de la physique en basse dimension. Les Houches - École d’Été de Physique Theorique, session LXIX. Les Ulis: EDP Sciences. 265-413 (1999). MSC: 81V70 81R10 81S05 81Q70 PDFBibTeX XMLCite \textit{J. Myrheim}, in: Aspects topologiques de la physique en basse dimension. Les Houches - École d'Été de Physique Theorique, session LXIX. Les Ulis: EDP Sciences; Berlin: Springer. 265--413 (1999; Zbl 0990.81163)
Litovchenko, V. A. Pseudodifferential equations in the spaces of generalized periodic functions. (Russian) Zbl 0982.35128 Kraj. Zadachi Dyfer. Rivnyan’ 4, 122-126 (1999). Reviewer: A.D.Borisenko (Kyïv) MSC: 35S10 26A33 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Kraĭ. Zadachi Dyfer. Rivnyan' 4, 122--126 (1999; Zbl 0982.35128)
Al-Kharsani, H. A. A note on certain classes of close-to-convex functions. (English) Zbl 1009.30006 Tamkang J. Math. 30, No. 3, 175-182 (1999). MSC: 30C45 PDFBibTeX XMLCite \textit{H. A. Al-Kharsani}, Tamkang J. Math. 30, No. 3, 175--182 (1999; Zbl 1009.30006)
Dud’yeva, G. S. Spectral analysis of Volterra operators with a kernel depending on a difference. (Russian) Zbl 0973.47035 Tr. Inst. Prikl. Mat. Mekh. 4, 62-69 (1999). Reviewer: Yu.L.Nosenko (Donetsk) MSC: 47G10 46E35 47A10 47B34 PDFBibTeX XMLCite \textit{G. S. Dud'yeva}, Tr. Inst. Prikl. Mat. Mekh. 4, 62--69 (1999; Zbl 0973.47035)
Sethi, P. L.; Bhardwaj, Rajesh On symmetric generalized operators of fractional integration. (English) Zbl 0973.44002 Math. Educ. 33, No. 4, 193-201 (1999). MSC: 44A15 26A33 PDFBibTeX XMLCite \textit{P. L. Sethi} and \textit{R. Bhardwaj}, Math. Educ. 33, No. 4, 193--201 (1999; Zbl 0973.44002)
Kufner, Alois Fractional order inequalities of Hardy type. (English) Zbl 0984.26005 Rassias, Themistocles M. (ed.) et al., Analytic and geometric inequalities and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 478, 183-189 (1999). Reviewer: Stefan G.Samko (Faro) MSC: 26D10 26A33 PDFBibTeX XMLCite \textit{A. Kufner}, Math. Appl., Dordr. 478, 183--189 (1999; Zbl 0984.26005)
Pearson, Michael Extremals for a class of convolution operators. (English) Zbl 0967.42007 Houston J. Math. 25, No. 1, 43-54 (1999). Reviewer: Yang Dachun (Jena) MSC: 42B15 46E35 47G10 26D15 PDFBibTeX XMLCite \textit{M. Pearson}, Houston J. Math. 25, No. 1, 43--54 (1999; Zbl 0967.42007)
Karapetyants, N. K.; Shankishvili, L. D. Fractional integrals of imaginary order in the Hölder space on a segment. (English. Russian original) Zbl 0969.26006 Dokl. Math. 59, No. 1, 110-112 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 6, 738-740 (1999). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 26A33 47G10 47B38 PDFBibTeX XMLCite \textit{N. K. Karapetyants} and \textit{L. D. Shankishvili}, Dokl. Math. 59, No. 1, 738--740 (1999; Zbl 0969.26006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 6, 738--740 (1999)
Liu, Zongguang On the Hardy-Littlewood-Sobolev theorem of the fractional integration of Herz-type spaces. (Chinese. English summary) Zbl 0966.42006 J. Huaihua Teach. Coll. 18, No. 5, 1-4 (1999). Reviewer: Yang Dachun (Jena) MSC: 42B25 42B35 47A30 47B38 PDFBibTeX XMLCite \textit{Z. Liu}, J. Huaihua Teach. Coll. 18, No. 5, 1--4 (1999; Zbl 0966.42006)
Kumar, Kailash Fourier transformation and related operators. (English) Zbl 0970.42008 Eur. J. Phys. 20, No. 6, 501-510 (1999). MSC: 42A38 47G10 PDFBibTeX XMLCite \textit{K. Kumar}, Eur. J. Phys. 20, No. 6, 501--510 (1999; Zbl 0970.42008) Full Text: DOI
Nishimoto, Katsuyuki N-method to fractional differintegral equations of viscoelastic vibration. I. (English) Zbl 0970.45514 J. Fractional Calc. 15, 73-82 (1999). MSC: 45K05 74H45 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 15, 73--82 (1999; Zbl 0970.45514)
Fontana, Marco; Izelgue, Lahoucine; Kabbaj, Salah-Eddine; Tartarone, Francesca Polynomial closure in essential domains and pullbacks. (English) Zbl 0978.13013 Dobbs, David E. (ed.) et al., Advances in commutative ring theory. Proceedings of the 3rd international conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 205, 307-321 (1999). Reviewer: Ngo Viet Trung (Hanoi) MSC: 13G05 13F20 13B25 PDFBibTeX XMLCite \textit{M. Fontana} et al., Lect. Notes Pure Appl. Math. 205, 307--321 (1999; Zbl 0978.13013)
Nishimoto, Katsuyuki; de Romero, Susana S. Some identities for the gamma functions (a serendipity in fractional calculus). (English) Zbl 0956.33001 J. Fractional Calc. 16, 1-5 (1999). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33B15 26A33 PDFBibTeX XMLCite \textit{K. Nishimoto} and \textit{S. S. de Romero}, J. Fractional Calc. 16, 1--5 (1999; Zbl 0956.33001)
McNaughton, Alastair The locus of the zeros of a rational function under fractional differentiation. (English) Zbl 0955.30007 J. Fractional Calc. 16, 55-65 (1999). MSC: 30C15 26A33 26C10 26C15 PDFBibTeX XMLCite \textit{A. McNaughton}, J. Fractional Calc. 16, 55--65 (1999; Zbl 0955.30007)
Nishimoto, Katsuyuki Partial sums of Riemann’s zeta function and their \(N\)-fractional calculus. (English) Zbl 1013.11050 J. Fractional Calc. 16, 7-12 (1999). MSC: 11M06 26A33 30E20 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 16, 7--12 (1999; Zbl 1013.11050)
Nishimoto, Katsuyuki \(N\)-fractional calculus of \(\zeta(z)\) and \(\zeta(-z)\). (English) Zbl 1013.11051 J. Fractional Calc. 16, 75-84 (1999). MSC: 11M06 26A33 30E20 34M99 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 16, 75--84 (1999; Zbl 1013.11051)
Motornyj, V. P. Approximation of fractional order integrals by algebraic polynomials. II. (English. Russian original) Zbl 0970.41003 Ukr. Math. J. 51, No. 7, 1055-1068 (1999); translation from Ukr. Mat. Zh. 51, No. 7, 940-951 (1999). MSC: 41A10 PDFBibTeX XMLCite \textit{V. P. Motornyj}, Ukr. Mat. Zh. 51, No. 7, 940--951 (1999; Zbl 0970.41003); translation from Ukr. Mat. Zh. 51, No. 7, 940--951 (1999)
Rybak, V. Ya.; Korol’, I. Yu.; Rubish, Yu. Yu. Indefinite integrals and derivatives of fractional order. (Ukrainian. English summary) Zbl 0952.26004 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 4, 90-95 (1999). MSC: 26A33 PDFBibTeX XMLCite \textit{V. Ya. Rybak} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 4, 90--95 (1999; Zbl 0952.26004)
Bernardis, Ana; Salinas, Oscar Two-weight inequalities for certain maximal fractional operators on spaces of homogeneous type. (English) Zbl 0966.42007 Rev. Unión Mat. Argent. 41, No. 3, 61-75 (1999). Reviewer: Yang Dachun (Jena) MSC: 42B25 43A85 PDFBibTeX XMLCite \textit{A. Bernardis} and \textit{O. Salinas}, Rev. Unión Mat. Argent. 41, No. 3, 61--75 (1999; Zbl 0966.42007)
Long, Shunchao; Wang, Jian; Den, Jiqin Vector-valued fractional integral on Herz-type Hardy spaces. (English) Zbl 0949.42015 Nat. Sci. J. Xiangtan Univ. 21, No. 1, 120-122 (1999). MSC: 42B25 42B30 42B20 42B35 PDFBibTeX XMLCite \textit{S. Long} et al., Nat. Sci. J. Xiangtan Univ. 21, No. 1, 120--122 (1999; Zbl 0949.42015)
Coutin, L.; Decreusefond, L. Abstract nonlinear filtering theory in the presence of fractional Brownian motion. (English) Zbl 0956.60058 Ann. Appl. Probab. 9, No. 4, 1058-1090 (1999). Reviewer: Nicolas Privault (La Rochelle) MSC: 60H07 60G35 60H10 60H20 PDFBibTeX XMLCite \textit{L. Coutin} and \textit{L. Decreusefond}, Ann. Appl. Probab. 9, No. 4, 1058--1090 (1999; Zbl 0956.60058) Full Text: DOI
Yakubov, Askhab Ya. Convolutions of weakly synchronous functions. (English) Zbl 0962.44009 Integral Transforms Spec. Funct. 8, No. 3-4, 287-298 (1999). Reviewer: Semyon Yakubovich (Porto) MSC: 44A35 45E10 26D15 45G10 PDFBibTeX XMLCite \textit{A. Ya. Yakubov}, Integral Transforms Spec. Funct. 8, No. 3--4, 287--298 (1999; Zbl 0962.44009) Full Text: DOI
Kenig, Carlos E.; Stein, Elias M. Multilinear estimates and fractional integration. (English) Zbl 0952.42005 Math. Res. Lett. 6, No. 1, 1-15 (1999); erratum ibid. 6, No. 3-4, 467 (1999). Reviewer: Maria Roginskaya (Göteborg) MSC: 42B20 47G10 26A33 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{E. M. Stein}, Math. Res. Lett. 6, No. 1, 1--15 (1999); erratum ibid. 6, No. 3--4, 467 (1999; Zbl 0952.42005) Full Text: DOI
Srivastava, H. M.; Mishra, A. K.; Das, M. K. A unified operator in fractional calculus and its applications to a nested class of analytic functions with negative coefficients. (English) Zbl 1019.30012 Complex Variables, Theory Appl. 40, No. 2, 119-132 (1999). MSC: 30C45 26A33 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Complex Variables, Theory Appl. 40, No. 2, 119--132 (1999; Zbl 1019.30012) Full Text: DOI
Hallenbeck, D. J. Growth of the area function for multipliers of analytic fractional Cauchy transforms. (English) Zbl 1054.30036 Appl. Anal. 73, No. 1-2, 89-94 (1999). Reviewer: Vladimir Mityushev (Kraków) MSC: 30E20 PDFBibTeX XMLCite \textit{D. J. Hallenbeck}, Appl. Anal. 73, No. 1--2, 89--94 (1999; Zbl 1054.30036) Full Text: DOI
Grafakos, Loukas; Morpurgo, Carlo A Selberg integral formula and applications. (English) Zbl 1006.42017 Pac. J. Math. 191, No. 1, 85-94 (1999). MSC: 42B10 46E35 PDFBibTeX XMLCite \textit{L. Grafakos} and \textit{C. Morpurgo}, Pac. J. Math. 191, No. 1, 85--94 (1999; Zbl 1006.42017) Full Text: DOI
Ferreyra, E.; Godoy, T.; Urciuolo, M. Sharp \(L^p-L^q\) estimates for singular fractional integral operators. (English) Zbl 0973.42006 Math. Scand. 84, No. 2, 213-230 (1999). Reviewer: Luboš Pick (Praha) MSC: 42B20 PDFBibTeX XMLCite \textit{E. Ferreyra} et al., Math. Scand. 84, No. 2, 213--230 (1999; Zbl 0973.42006) Full Text: DOI
Secco, Silvia Fractional integration along homogeneous curves in \(R^3\). (English) Zbl 0971.42010 Math. Scand. 85, No. 2, 259-270 (1999). Reviewer: Kozo Yabuta (Nishinomiya) MSC: 42B20 42B15 PDFBibTeX XMLCite \textit{S. Secco}, Math. Scand. 85, No. 2, 259--270 (1999; Zbl 0971.42010) Full Text: DOI
Hallenbeck, D. J.; Samotij, K. On derivatives of multipliers of fractional Cauchy transforms. (English) Zbl 0952.46026 Gilbert, Robert P. (ed.) et al., Recent developments in complex analysis and computer algebra. Papers presented in special sessions of the ISAAC ’97 congress, Newark, DE, June 2-7, 1997. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 4, 105-111 (1999). Reviewer: Franz Selig (Bronxville) MSC: 46F12 30E20 30D50 30D40 PDFBibTeX XMLCite \textit{D. J. Hallenbeck} and \textit{K. Samotij}, Int. Soc. Anal. Appl. Comput. 4, 105--111 (1999; Zbl 0952.46026)
Michna, Zbigniew On tail probabilities and first passage times for fractional Brownian motion. (English) Zbl 0953.60016 Math. Methods Oper. Res. 49, No. 2, 335-354 (1999). Reviewer: T.Inglot (Wrocław) MSC: 60G18 60H35 65C30 PDFBibTeX XMLCite \textit{Z. Michna}, Math. Methods Oper. Res. 49, No. 2, 335--354 (1999; Zbl 0953.60016)
Lifanov, I. K.; Poltavskij, L. N. Spaces of fractional quotients, discrete operators, and their applications. II. (English. Russian original) Zbl 0985.47028 Sb. Math. 190, No. 11, 1623-1687 (1999); translation from Mat. Sb. 190, No. 11, 67-134 (1999). Reviewer: Roland Duduchava (Tbilisi) MSC: 47B39 39A70 46E99 65N06 65N38 PDFBibTeX XMLCite \textit{I. K. Lifanov} and \textit{L. N. Poltavskij}, Sb. Math. 190, No. 11, 1623--1687 (1999; Zbl 0985.47028); translation from Mat. Sb. 190, No. 11, 67--134 (1999) Full Text: DOI
Bughgeim, A. L. Volterra equations and inverse problems. (English) Zbl 0947.65146 Inverse and Ill-Posed Problems Series. Utrecht: VSP. vi, 204 p. (1999). Reviewer: R.Plato (Berlin) MSC: 65R20 45Q05 65-02 45D05 45G10 45N05 45M10 35R30 65M32 PDFBibTeX XMLCite \textit{A. L. Bughgeim}, Volterra equations and inverse problems. Utrecht: VSP (1999; Zbl 0947.65146)
Saigo, Megumi; Kilbas, Anatoly A.; Takushima, Hidekazu On the multidimensional pyramidal fractional integrals and derivatives. (English) Zbl 1095.26505 Rassias, Themistocles M. (ed.), Complex analysis in several variables. Palm Harbor, FL: Hadronic Press (ISBN 1-57485-043-1/pbk). 133-148 (1999). MSC: 26A33 44A20 PDFBibTeX XMLCite \textit{M. Saigo} et al., in: Complex analysis in several variables. Palm Harbor, FL: Hadronic Press. 133--148 (1999; Zbl 1095.26505)
Chaurasia, V. B. L.; Gupta, Neeti General fractional integral operators, general class of polynomials and Fox’s \(H\)-function. (English) Zbl 0948.26005 Soochow J. Math. 25, No. 4, 333-339 (1999). Reviewer: R.K.Raina (Udaipur) MSC: 26A33 33C60 33C05 PDFBibTeX XMLCite \textit{V. B. L. Chaurasia} and \textit{N. Gupta}, Soochow J. Math. 25, No. 4, 333--339 (1999; Zbl 0948.26005)
Dasgupta, A.; Kallianpur, G. Chaos decomposition of multiple fractional integrals and applications. (English) Zbl 0952.60043 Probab. Theory Relat. Fields 115, No. 4, 527-548 (1999). Reviewer: Mihai Gradinaru (Nancy) MSC: 60G15 60H05 PDFBibTeX XMLCite \textit{A. Dasgupta} and \textit{G. Kallianpur}, Probab. Theory Relat. Fields 115, No. 4, 527--548 (1999; Zbl 0952.60043) Full Text: DOI
Léger, Stéphanie; Pontier, Monique A fractional Brownian field. (Drap brownien fractionnaire.) (French. Abridged English version) Zbl 0945.60047 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 10, 893-898 (1999). Reviewer: Neculai Curteanu (Iaşi) MSC: 60G60 60J65 60B10 PDFBibTeX XMLCite \textit{S. Léger} and \textit{M. Pontier}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 10, 893--898 (1999; Zbl 0945.60047) Full Text: DOI
Grecksch, W.; Anh, V. V. Approximation of stochastic Hammerstein integral equation with fractional Brownian motion input. (English) Zbl 0942.65008 Monte Carlo Methods Appl. 5, No. 4, 311-323 (1999). Reviewer: Eckhard Platen (Broadway) MSC: 65C30 60H20 60H10 PDFBibTeX XMLCite \textit{W. Grecksch} and \textit{V. V. Anh}, Monte Carlo Methods Appl. 5, No. 4, 311--323 (1999; Zbl 0942.65008) Full Text: DOI
Bonilla, B.; Rivero, M.; Rodríguez, J.; Trujillo, J.; Kilbas, A. A. Bessel-type functions and Bessel-type integral transforms on spaces \({\mathcal F}_{p,\mu}\) and \({\mathcal F}_{p,\mu}'\). (English) Zbl 0937.33004 Integral Transforms Spec. Funct. 8, No. 1-2, 13-30 (1999). Reviewer: H.-J.Glaeske (Jena) MSC: 33C10 44A15 46F12 PDFBibTeX XMLCite \textit{B. Bonilla} et al., Integral Transforms Spec. Funct. 8, No. 1--2, 13--30 (1999; Zbl 0937.33004) Full Text: DOI
Raina, R. K.; Srivastava, H. M. Some subclasses of analytic functions associated with fractional calculus operators. (English) Zbl 0934.30009 Comput. Math. Appl. 37, No. 9, 73-84 (1999). Reviewer: H.M.Srivastava (Victoria) MSC: 30C45 PDFBibTeX XMLCite \textit{R. K. Raina} and \textit{H. M. Srivastava}, Comput. Math. Appl. 37, No. 9, 73--84 (1999; Zbl 0934.30009) Full Text: DOI
Kiryakova, V.; Al-Saqabi, B. Explicit solutions to hyper-Bessel integral equations of second kind. (English) Zbl 0936.45003 Comput. Math. Appl. 37, No. 1, 75-86 (1999). Reviewer: Robert G.Buschman (Langlois) MSC: 45H05 33C60 26A33 34A25 34B30 PDFBibTeX XMLCite \textit{V. Kiryakova} and \textit{B. Al-Saqabi}, Comput. Math. Appl. 37, No. 1, 75--86 (1999; Zbl 0936.45003) Full Text: DOI
Anastassiou, George A. Opial type inequalities involving fractional derivatives of functions. (English) Zbl 0945.26019 Nonlinear Stud. 6, No. 2, 207-230 (1999). Reviewer: Yuri Luchko (Berlin) MSC: 26D10 26A33 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Nonlinear Stud. 6, No. 2, 207--230 (1999; Zbl 0945.26019)
Virchenko, N. O.; Sichkar, Yu. V. On some integral equations with the generalized Legendre function. (English. Ukrainian original) Zbl 0937.45005 Ukr. Math. J. 51, No. 2, 297-301 (1999); translation from Ukr. Mat. Zh. 51, No. 2, 263-267 (1999). Reviewer: Valerie Samoilenko (Kyïv) MSC: 45H05 PDFBibTeX XMLCite \textit{N. O. Virchenko} and \textit{Yu. V. Sichkar}, Ukr. Mat. Zh. 51, No. 2, 263--267 (1999; Zbl 0937.45005); translation from Ukr. Mat. Zh. 51, No. 2, 263--267 (1999) Full Text: DOI
Elwakil, S. A.; Zahran, M. A. Fractional integral representation of master equation. (English) Zbl 0988.82039 Chaos Solitons Fractals 10, No. 9, 1545-1548 (1999). MSC: 82C31 26A33 PDFBibTeX XMLCite \textit{S. A. Elwakil} and \textit{M. A. Zahran}, Chaos Solitons Fractals 10, No. 9, 1545--1548 (1999; Zbl 0988.82039) Full Text: DOI
Kalia, R. N.; Srivastava, H. M. Fractional calculus and its applications involving functions of several variables. (English) Zbl 0939.26004 Appl. Math. Lett. 12, No. 5, 19-23 (1999). Reviewer: H.M.Srivastava (Victoria, B.C.) MSC: 26A33 33C65 33B20 26B99 PDFBibTeX XMLCite \textit{R. N. Kalia} and \textit{H. M. Srivastava}, Appl. Math. Lett. 12, No. 5, 19--23 (1999; Zbl 0939.26004) Full Text: DOI
Kochubei, Anatoly N. Fractional differentiation operator over an infinite extension of a local field. (English) Zbl 1009.47018 Kąkol, J. (ed.) et al., \(p\)-adic functional analysis. Proceedings of the 5th international conference in Poznań, Poland, June 1-5, 1998. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 207, 167-178 (1999). MSC: 47B38 26A33 47S10 PDFBibTeX XMLCite \textit{A. N. Kochubei}, Lect. Notes Pure Appl. Math. 207, 167--178 (1999; Zbl 1009.47018) Full Text: arXiv
Khan, Mumtaz Ahmad; Ahmad, Khursheed On a two variable analogue of Konhauser’s biorthogonal polynomial \(Z_m^\alpha (x;k)\). (English) Zbl 0948.33008 Far East J. Math. Sci. (FJMS) 1, No. 2, 225-240 (1999). Reviewer: P.K.Mital (Ajmer) MSC: 33C45 PDFBibTeX XMLCite \textit{M. A. Khan} and \textit{K. Ahmad}, Far East J. Math. Sci. (FJMS) 1, No. 2, 225--240 (1999; Zbl 0948.33008)
Fuchs, Laszlo On the class semigroups of Prüfer domains. (English) Zbl 0947.13012 Eklof, Paul C. (ed.) et al., Abelian groups and modules. Proceedings of the international conference in Dublin, Ireland, August 10-14, 1998. Basel: Birkhäuser. Trends in Mathematics. 319-326 (1999). Reviewer: Carlos Galindo (Castellon) MSC: 13F05 13G05 PDFBibTeX XMLCite \textit{L. Fuchs}, in: Abelian groups and modules. Proceedings of the international conference in Dublin, Ireland, August 10--14, 1998. Basel: Birkhäuser. 319--326 (1999; Zbl 0947.13012)
Gupta, K. C.; Goyal, S. P.; Laddha, R. K. On general Eulerian integral formulas and fractional integration. (English) Zbl 0946.33010 Tamkang J. Math. 30, No. 2, 155-164 (1999). Reviewer: C.L.Koul (Jaipur) MSC: 33C70 33C60 PDFBibTeX XMLCite \textit{K. C. Gupta} et al., Tamkang J. Math. 30, No. 2, 155--164 (1999; Zbl 0946.33010)
Godoy, T.; Urciuolo, M. On certain integral operators of fractional type. (English) Zbl 0937.47032 Acta Math. Hung. 82, No. 1-2, 99-105 (1999). Reviewer: Lechoslaw Hacia (Poznan) MSC: 47B34 47G10 PDFBibTeX XMLCite \textit{T. Godoy} and \textit{M. Urciuolo}, Acta Math. Hung. 82, No. 1--2, 99--105 (1999; Zbl 0937.47032) Full Text: DOI
Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen On X-ray transforms for rigid line complexes and integrals over curves in \(\mathbb{R}^4\). (English) Zbl 0934.44003 Proc. Am. Math. Soc. 127, No. 12, 3533-3545 (1999). Reviewer: N.Hayek (La Laguna) MSC: 44A12 PDFBibTeX XMLCite \textit{A. Greenleaf} et al., Proc. Am. Math. Soc. 127, No. 12, 3533--3545 (1999; Zbl 0934.44003) Full Text: DOI
Ray, B. K.; Ghosh, S. K. On a new mean and functions of bounded deviation. (English) Zbl 0937.26015 Proc. Indian Acad. Sci., Math. Sci. 109, No. 2, 203-209 (1999). Reviewer: P.Chandra (Ujjain) MSC: 26E60 26A45 26A33 PDFBibTeX XMLCite \textit{B. K. Ray} and \textit{S. K. Ghosh}, Proc. Indian Acad. Sci., Math. Sci. 109, No. 2, 203--209 (1999; Zbl 0937.26015) Full Text: DOI
Luchko, Yurii; Gorenflo, Rudolf An operational method for solving fractional differential equations with the Caputo derivatives. (English) Zbl 0931.44003 Acta Math. Vietnam. 24, No. 2, 207-233 (1999). Reviewer: Lothar Berg (Rostock) MSC: 44A40 34A25 45J05 26A33 33E30 PDFBibTeX XMLCite \textit{Y. Luchko} and \textit{R. Gorenflo}, Acta Math. Vietnam. 24, No. 2, 207--233 (1999; Zbl 0931.44003)
Enelund, Mikael; Olsson, Peter Damping described by fading memory – analysis and application to fractional derivative models. (English) Zbl 0936.74023 Int. J. Solids Struct. 36, No. 7, 939-970 (1999). MSC: 74D05 74K99 PDFBibTeX XMLCite \textit{M. Enelund} and \textit{P. Olsson}, Int. J. Solids Struct. 36, No. 7, 939--970 (1999; Zbl 0936.74023) Full Text: DOI
Pinelis, Iosif Fractional sums and integrals of \(r\)-concave tails and applications to comparison probability inequalities. (English) Zbl 0937.60011 Hill, Theodore P. (ed.) et al., Advances in stochastic inequalities. AMS special session on Stochastic inequalities and their applications, Georgia Institute of Technology, Atlanta, GA, USA, October 17-19, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 234, 149-168 (1999). MSC: 60E15 05A20 26A12 26A33 26A51 26D07 26D10 26D15 33E20 39A12 51M16 52A01 52A40 PDFBibTeX XMLCite \textit{I. Pinelis}, Contemp. Math. 234, 149--168 (1999; Zbl 0937.60011)
Enelund, Mikael; Lesieutre, George A. Time-domain modeling of damping using anelastic displacement fields and fractional calculus. (English) Zbl 0943.74008 Int. J. Solids Struct. 36, No. 29, 4447-4472 (1999). MSC: 74D05 74S05 PDFBibTeX XMLCite \textit{M. Enelund} and \textit{G. A. Lesieutre}, Int. J. Solids Struct. 36, No. 29, 4447--4472 (1999; Zbl 0943.74008) Full Text: DOI
MacGregor, Thomas H. Fractional Cauchy transforms. (English) Zbl 0943.44004 J. Comput. Appl. Math. 105, No. 1-2, 93-108 (1999). Reviewer: K.C.Gupta (Jaipur) MSC: 44A15 30Cxx 42B15 26A33 46J15 PDFBibTeX XMLCite \textit{T. H. MacGregor}, J. Comput. Appl. Math. 105, No. 1--2, 93--108 (1999; Zbl 0943.44004) Full Text: DOI
Podlubny, Igor Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. (English) Zbl 0924.34008 Mathematics in Science and Engineering. 198. San Diego, CA: Academic Press. xxiv, 340 p. (1999). Reviewer: H.M.Srivastava (Victoria, British Columbia) MSC: 34A25 26A33 34Axx 34-01 PDFBibTeX XMLCite \textit{I. Podlubny}, Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. San Diego, CA: Academic Press (1999; Zbl 0924.34008)
Calter, Paul A.; Calter, Michael A. Technical calculus. 2nd ed. (English) Zbl 0926.00003 Upper Saddle River, NJ: Prentice Hall. xxi, 457 p., A-61, I-10 (1999). Reviewer: Helmut Köcher (Dresden) MSC: 00A06 26-01 26A24 26A33 34-01 42-01 44A10 65-01 PDFBibTeX XMLCite \textit{P. A. Calter} and \textit{M. A. Calter}, Technical calculus. 2nd ed. Upper Saddle River, NJ: Prentice Hall (1999; Zbl 0926.00003)
Atakishiyev, Natig M.; Vicent, Luis Edgar; Wolf, Kurt Bernardo Continuous vs. discrete fractional Fourier transforms. (English) Zbl 0945.65154 J. Comput. Appl. Math. 107, No. 1, 73-95 (1999). Reviewer: G.Steidl (Mannheim) MSC: 65T50 42A38 33C20 78A50 44A55 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Comput. Appl. Math. 107, No. 1, 73--95 (1999; Zbl 0945.65154) Full Text: DOI
Kerefov, A. A. To problems with continual derivative in boundary conditions for a parabolic equation. (English. Ukrainian original) Zbl 0936.35074 Ukr. Math. J. 51, No. 3, 343-352 (1999); translation from Ukr. Mat. Zh. 51, No. 3, 305-313 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 35K05 26A33 PDFBibTeX XMLCite \textit{A. A. Kerefov}, Ukr. Mat. Zh. 51, No. 3, 305--313 (1999; Zbl 0936.35074); translation from Ukr. Mat. Zh. 51, No. 3, 305--313 (1999)
Aomoto, Kazuhiko; Iguchi, Kazumoto On quasi-hypergeometric functions. (English) Zbl 0927.33014 Methods Appl. Anal. 6, No. 1, 55-66 (1999). Reviewer: A.M.Mathai (Montreal) MSC: 33E30 33C50 PDFBibTeX XMLCite \textit{K. Aomoto} and \textit{K. Iguchi}, Methods Appl. Anal. 6, No. 1, 55--66 (1999; Zbl 0927.33014) Full Text: DOI
El-Sayed, Ahmed M. A. Fractional-order evolutionary integral equations. (English) Zbl 0933.34063 Appl. Math. Comput. 98, No. 2-3, 139-146 (1999). Reviewer: Gustaf Gripenberg (Hut) MSC: 34G20 45N05 34A12 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed}, Appl. Math. Comput. 98, No. 2--3, 139--146 (1999; Zbl 0933.34063) Full Text: DOI
Wang, Fanggui \(w\)-dimension of domains. (English) Zbl 0923.13010 Commun. Algebra 27, No. 5, 2267-2276 (1999). Reviewer: Ladislav Bican (Praha) MSC: 13C15 13A15 13G05 13B21 PDFBibTeX XMLCite \textit{F. Wang}, Commun. Algebra 27, No. 5, 2267--2276 (1999; Zbl 0923.13010) Full Text: DOI
Tuan, Vu Kim; Saigo, Megumi Modified fractional integral operators in \(L_p\) space with power-logarithmic weight. (English) Zbl 1029.26001 Math. Jap. 49, No. 1, 145-150 (1999). MSC: 26A33 42B20 47G10 PDFBibTeX XMLCite \textit{V. K. Tuan} and \textit{M. Saigo}, Math. Japon. 49, No. 1, 145--150 (1999; Zbl 1029.26001)
Srivastava, H. M. Some bilateral expansions associated with the incomplete gamma functions. (English) Zbl 0931.33001 Mem. Fac. Sci., Kochi Univ., Ser. A 20, 105-112 (1999). Reviewer: H.M.Srivastava MSC: 33B15 33B20 33C15 26A33 PDFBibTeX XMLCite \textit{H. M. Srivastava}, Mem. Fac. Sci., Kochi Univ., Ser. A 20, 105--112 (1999; Zbl 0931.33001)
Petzeltová, Hana Compactness and asymptotic spatial homogeneity in conservation laws with memory. (English) Zbl 0915.45006 Ruan, Shigui (ed.) et al., Differential equations with applications to biology. Proceedings of the international conference, Halifax, Canada, July 25–29, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 21, 409-417 (1999). MSC: 45K05 74E05 45M15 45M05 PDFBibTeX XMLCite \textit{H. Petzeltová}, Fields Inst. Commun. 21, 409--417 (1999; Zbl 0915.45006)
Bray, William O.; Rubin, Boris Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform. (English) Zbl 0922.43003 Bray, William O. (ed.) et al., Analysis of divergence. Control and management of divergent processes. Proceedings of the 7th international workshop in analysis and its applications, IWAA, Orono, ME, USA June 1–6, 1997. Boston, MA: Birkhäuser. Applied and Numerical Harmonic Analysis. 87-105 (1999). Reviewer: T.Kawazoe (Yokohama) MSC: 43A32 43A85 22E30 PDFBibTeX XMLCite \textit{W. O. Bray} and \textit{B. Rubin}, in: Analysis of divergence. Control and management of divergent processes. Proceedings of the 7th international workshop in analysis and its applications, IWAA, Orono, ME, USA June 1--6, 1997. Boston, MA: Birkhäuser. 87--105 (1999; Zbl 0922.43003)