Szwarc, Ryszard Orthogonal polynomials and Banach algebras. (English) Zbl 1119.33011 zu Castell, Wolfgang (ed.) et al., Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17–21, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-108-6/hbk). Advances in the Theory of Special Functions and Orthogonal Polynomials, 103-139 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 42C05 34B05 39A11 46J15 PDFBibTeX XMLCite \textit{R. Szwarc}, in: Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17--21, 2001. Hauppauge, NY: Nova Science Publishers. 103--139 (2005; Zbl 1119.33011)
Kato, Mitsuo Generalized hypergeometric functions \(_nF_{n-1}\) with monodromy groups \(S_{n+1}\). (English) Zbl 1115.33003 Funkc. Ekvacioj, Ser. Int. 48, No. 1, 57-63 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 34A05 PDFBibTeX XMLCite \textit{M. Kato}, Funkc. Ekvacioj, Ser. Int. 48, No. 1, 57--63 (2005; Zbl 1115.33003) Full Text: DOI Link
Khan, Subuhi; Yasmin, Ghazala Generalized Bessel functions and Lie algebra representation. (English) Zbl 1105.33006 Math. Phys. Anal. Geom. 8, No. 4, 299-313 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C10 33C47 33C80 33E20 PDFBibTeX XMLCite \textit{S. Khan} and \textit{G. Yasmin}, Math. Phys. Anal. Geom. 8, No. 4, 299--313 (2005; Zbl 1105.33006) Full Text: DOI
Ryabenko, A. A.; Skorokhodov, S. L. Asymptotics of sums of hypergeometric terms. (English. Russian original) Zbl 1102.41029 Program. Comput. Softw. 31, No. 2, 65-72 (2005); translation from Programmirovanie 2005, No. 2, 22-31 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 41A60 33C05 33B15 33F05 33F10 PDFBibTeX XMLCite \textit{A. A. Ryabenko} and \textit{S. L. Skorokhodov}, Program. Comput. Softw. 31, No. 2, 65--72 (2005; Zbl 1102.41029); translation from Programmirovanie 2005, No. 2, 22--31 (2005) Full Text: DOI Backlinks: MO
Boros, G.; Little, J.; Moll, V.; Mosteig, E.; Stanley, R. A map on the space of rational functions. (English) Zbl 1096.33003 Rocky Mt. J. Math. 35, No. 6, 1861-1880 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B99 30D05 30B10 30E15 37C25 39B12 PDFBibTeX XMLCite \textit{G. Boros} et al., Rocky Mt. J. Math. 35, No. 6, 1861--1880 (2005; Zbl 1096.33003) Full Text: DOI arXiv
Maroni, Pascal; Mejri, Manoubi Generalized Bernoulli polynomials revisited and some other Appell sequences. (English) Zbl 1097.33010 Georgian Math. J. 12, No. 4, 696-716 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C65 33C45 11B68 PDFBibTeX XMLCite \textit{P. Maroni} and \textit{M. Mejri}, Georgian Math. J. 12, No. 4, 696--716 (2005; Zbl 1097.33010)
Maican, C. C. [Srivastava, K. D.] Integral evaluations using the gamma and beta functions and elliptic integrals in engineering. A self-study approach. With a foreword by K. D. Srivastava. (English) Zbl 1090.33001 Cambridge, MA: International Press (ISBN 1-57146-158-2/pbk). xii, 315 p. (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33-01 33-00 33-04 33B15 33B20 33C75 33E05 33F05 26-01 26-00 33C90 PDFBibTeX XMLCite \textit{C. C. Maican}, Integral evaluations using the gamma and beta functions and elliptic integrals in engineering. A self-study approach. With a foreword by K. D. Srivastava. Cambridge, MA: International Press (2005; Zbl 1090.33001)
Srivastava, Bhaskar Ramanujan’s mock theta functions. (English) Zbl 1089.33015 Math. J. Okayama Univ. 47, 163-174 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 11F27 11A55 PDFBibTeX XMLCite \textit{B. Srivastava}, Math. J. Okayama Univ. 47, 163--174 (2005; Zbl 1089.33015)
Srivastava, Bhaskar Hecke modular form expansions for eighth order Mock theta functions. (English) Zbl 1089.33014 Tokyo J. Math. 28, No. 2, 563-577 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 11F11 11F27 PDFBibTeX XMLCite \textit{B. Srivastava}, Tokyo J. Math. 28, No. 2, 563--577 (2005; Zbl 1089.33014) Full Text: DOI
Chen, Chaoping Inequalities for the polygamma functions with application. (English) Zbl 1094.33001 Sci. Magna 1, No. 2, 91-95 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B15 26D15 PDFBibTeX XMLCite \textit{C. Chen}, Sci. Magna 1, No. 2, 91--95 (2005; Zbl 1094.33001)
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru Determinations of analogues of Gauss sums and other trigonometric sums. (English) Zbl 1088.11064 Int. J. Number Theory 1, No. 3, 333-356 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 11L03 11R29 11L10 PDFBibTeX XMLCite \textit{M. Beck} et al., Int. J. Number Theory 1, No. 3, 333--356 (2005; Zbl 1088.11064) Full Text: DOI arXiv
Lomont, J. S. Formulas for power of the hyperbolic tangent with an application to higher-order tangent numbers. (English) Zbl 1081.33003 Rocky Mt. J. Math. 35, No. 4, 1217-1231 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B10 05E05 41A58 PDFBibTeX XMLCite \textit{J. S. Lomont}, Rocky Mt. J. Math. 35, No. 4, 1217--1231 (2005; Zbl 1081.33003) Full Text: DOI
Chen, Chaoping; Qi, Feng Best upper and lower bounds in Wallis’ inequality. (English) Zbl 1088.33001 J. Indones. Math. Soc. 11, No. 2, 137-141 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B15 26D15 26D20 PDFBibTeX XMLCite \textit{C. Chen} and \textit{F. Qi}, J. Indones. Math. Soc. 11, No. 2, 137--141 (2005; Zbl 1088.33001)
Chapoton, Frédéric Functional identities for the Rogers dilogarithm associated to cluster \(Y\)-systems. (English) Zbl 1134.33303 Bull. Lond. Math. Soc. 37, No. 5, 755-760 (2005). Reviewer: Stamatis Koumandos (Lefkosía) MSC: 33B30 20F55 33C52 82B23 PDFBibTeX XMLCite \textit{F. Chapoton}, Bull. Lond. Math. Soc. 37, No. 5, 755--760 (2005; Zbl 1134.33303) Full Text: DOI
Rains, Eric M. BC\(_n\)-symmetric polynomials. (English) Zbl 1080.33018 Transform. Groups 10, No. 1, 63-132 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D50 33D52 33D45 33D67 PDFBibTeX XMLCite \textit{E. M. Rains}, Transform. Groups 10, No. 1, 63--132 (2005; Zbl 1080.33018) Full Text: DOI arXiv
Zhang, Zhizheng; Wang, Jun Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals. (English) Zbl 1081.33032 J. Math. Anal. Appl. 312, No. 2, 653-665 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D05 05A30 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Wang}, J. Math. Anal. Appl. 312, No. 2, 653--665 (2005; Zbl 1081.33032) Full Text: DOI
Rathie, Arjun K.; Malani, Shaloo; Mathur, Ramanujan; Choi, Junedang Certain summation formulas due to Ramanujan and their generalizations. (English) Zbl 1080.33007 Bull. Korean Math. Soc. 42, No. 3, 469-475 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 33C05 41A58 PDFBibTeX XMLCite \textit{A. K. Rathie} et al., Bull. Korean Math. Soc. 42, No. 3, 469--475 (2005; Zbl 1080.33007) Full Text: DOI
Rajković, Predrag M.; Marinković, Sladjana D.; Stanković, Miomir S. Finding the zeros of the functions treated by \(q\)-calculus. (English) Zbl 1087.33009 Mladenov, Ivaïlo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3–10, 2004. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-9-5/pbk). 284-286 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 33D90 33D60 PDFBibTeX XMLCite \textit{P. M. Rajković} et al., in: Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 284--286 (2005; Zbl 1087.33009)
Chen, Kung-Yu; Srivastava, H. M. Series identities and associated families of generating functions. (English) Zbl 1076.33011 J. Math. Anal. Appl. 311, No. 2, 582-599 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C70 33C20 33C47 33C50 PDFBibTeX XMLCite \textit{K.-Y. Chen} and \textit{H. M. Srivastava}, J. Math. Anal. Appl. 311, No. 2, 582--599 (2005; Zbl 1076.33011) Full Text: DOI
Cheb-Terrab, E. S. A connection between Abel and \(_pF_q\) hypergeometric differential equations. (English) Zbl 1076.33004 Eur. J. Appl. Math. 16, No. 1, 53-63 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 34A25 33C20 PDFBibTeX XMLCite \textit{E. S. Cheb-Terrab}, Eur. J. Appl. Math. 16, No. 1, 53--63 (2005; Zbl 1076.33004) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. Orthogonality of Jacobi polynomials with general parameters. (English) Zbl 1075.33005 ETNA, Electron. Trans. Numer. Anal. 19, 1-17 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33F05 33C90 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., ETNA, Electron. Trans. Numer. Anal. 19, 1--17 (2005; Zbl 1075.33005) Full Text: arXiv EuDML EMIS
Obermaier, Josef; Szwarc, Ryszard Polynomial bases for continuous function spaces. (English) Zbl 1090.46505 Mache, Detlef H. (ed.) et al., Trends and applications in constructive approximation. Papers of the 4th IBoMAT meeting, Witten-Bommerholz, Germany, February 15–19, 2004. Basel: Birkhäuser (ISBN 3-7643-7124-2/hbk). ISNM. International Series of Numerical Mathematics 151, 195-205 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 46E15 46B15 33C45 33D45 PDFBibTeX XMLCite \textit{J. Obermaier} and \textit{R. Szwarc}, ISNM, Int. Ser. Numer. Math. 151, 195--205 (2005; Zbl 1090.46505)
Ismail, Mourad E. H. Asymptotics of \(q\)-orthogonal polynomials and a \(q\)-Airy function. (English) Zbl 1072.33014 Int. Math. Res. Not. 2005, No. 18, 1063-1088 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 33D15 33C10 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Int. Math. Res. Not. 2005, No. 18, 1063--1088 (2005; Zbl 1072.33014) Full Text: DOI
Dattoli, G.; Srivastava, H. M.; Zhukovsky, K. Orthogonality properties of the Hermite and related polynomials. (English) Zbl 1074.33010 J. Comput. Appl. Math. 182, No. 1, 165-172 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C47 33C45 33C50 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Comput. Appl. Math. 182, No. 1, 165--172 (2005; Zbl 1074.33010) Full Text: DOI
Kang, Soon-Yi; Lim, Sung-Geun; Sohn, Jaebum The continuous symmetric Hahn polynomials found in Ramanujan’s lost notebook. (English) Zbl 1068.33018 J. Math. Anal. Appl. 307, No. 1, 153-166 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C70 33C47 44A60 11A55 PDFBibTeX XMLCite \textit{S.-Y. Kang} et al., J. Math. Anal. Appl. 307, No. 1, 153--166 (2005; Zbl 1068.33018) Full Text: DOI
Miller, Allen R. A summation formula for Clausen’s series \(_3F_2(1)\) with an application to Goursat’s function \(_2F_2(x)\). (English) Zbl 1068.33009 J. Phys. A, Math. Gen. 38, No. 16, 3541-3545 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 33C50 33C15 PDFBibTeX XMLCite \textit{A. R. Miller}, J. Phys. A, Math. Gen. 38, No. 16, 3541--3545 (2005; Zbl 1068.33009) Full Text: DOI
Bezubik, Agata; Dąbrowska, Agata; Strasburger, Aleksander On the Fourier transform of SO(\(d\))-finite measures on the unit sphere. (English) Zbl 1064.42006 Arch. Math. 84, No. 5, 470-480 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42B10 33C55 33C80 44A15 44A20 PDFBibTeX XMLCite \textit{A. Bezubik} et al., Arch. Math. 84, No. 5, 470--480 (2005; Zbl 1064.42006) Full Text: DOI
Bonan-Hamada, Catherine M.; Jones, William B. Stieltjes continued fractions for polygamma functions; speed of convergence. (English) Zbl 1074.33001 J. Comput. Appl. Math. 179, No. 1-2, 47-55 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33B15 11A55 11J70 30B70 40A15 PDFBibTeX XMLCite \textit{C. M. Bonan-Hamada} and \textit{W. B. Jones}, J. Comput. Appl. Math. 179, No. 1--2, 47--55 (2005; Zbl 1074.33001) Full Text: DOI
Lin, Shy-Der; Srivastava, H. M. Some closed-form evaluations of multiple hypergeometric and \(q\)-hypergeometric series. (English) Zbl 1066.33014 Acta Appl. Math. 86, No. 3, 309-327 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C70 33C65 33D70 33C20 33D15 33C05 PDFBibTeX XMLCite \textit{S.-D. Lin} and \textit{H. M. Srivastava}, Acta Appl. Math. 86, No. 3, 309--327 (2005; Zbl 1066.33014) Full Text: DOI
Beckermann, B.; Coussement, J.; Van Assche, W. Multiple Wilson and Jacobi–Piñeiro polynomials. (English) Zbl 1066.33005 J. Approximation Theory 132, No. 2, 155-181 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 42C05 42C10 33C47 PDFBibTeX XMLCite \textit{B. Beckermann} et al., J. Approx. Theory 132, No. 2, 155--181 (2005; Zbl 1066.33005) Full Text: DOI arXiv
Grinshpan, Arcadii Z. General inequalities, consequences and applications. (English) Zbl 1097.26015 Adv. Appl. Math. 34, No. 1, 71-100 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 26D15 26A33 26D20 30C50 33B15 33C05 33C15 PDFBibTeX XMLCite \textit{A. Z. Grinshpan}, Adv. Appl. Math. 34, No. 1, 71--100 (2005; Zbl 1097.26015) Full Text: DOI
Díaz, Rafael; Teruel, Carolina \(q,k\)-generalized gamma and beta functions. (English) Zbl 1075.33010 J. Nonlinear Math. Phys. 12, No. 1, 118-134 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D05 33B15 33D99 05A30 PDFBibTeX XMLCite \textit{R. Díaz} and \textit{C. Teruel}, J. Nonlinear Math. Phys. 12, No. 1, 118--134 (2005; Zbl 1075.33010) Full Text: DOI arXiv
Kiepiela, Katarzyna; Klimek, Dominika An extension of the Chebyshev polynomials. (English) Zbl 1068.33030 J. Comput. Appl. Math. 178, No. 1-2, 305-312 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 33C45 30C45 PDFBibTeX XMLCite \textit{K. Kiepiela} and \textit{D. Klimek}, J. Comput. Appl. Math. 178, No. 1--2, 305--312 (2005; Zbl 1068.33030) Full Text: DOI
Berkovich, Alexander; Warnaar, S. Ole Positivity preserving transformations for \(q\)-binomial coefficients. (English) Zbl 1061.33015 Trans. Am. Math. Soc. 357, No. 6, 2291-2351 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 33C20 05A30 PDFBibTeX XMLCite \textit{A. Berkovich} and \textit{S. O. Warnaar}, Trans. Am. Math. Soc. 357, No. 6, 2291--2351 (2005; Zbl 1061.33015) Full Text: DOI arXiv
Srinivasa Rao, K.; Vanden Berghe, G.; Krattenthaler, C. An entry of Ramanujan on hypergeometric series in his Notebooks. (English) Zbl 1068.33010 J. Comput. Appl. Math. 173, No. 2, 239-246 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 33C05 33B15 PDFBibTeX XMLCite \textit{K. Srinivasa Rao} et al., J. Comput. Appl. Math. 173, No. 2, 239--246 (2005; Zbl 1068.33010) Full Text: DOI arXiv
Dattoli, G.; Migliorati, M.; Srivastava, H. M. Bessel summation formulae and operational methods. (English) Zbl 1067.33010 J. Comput. Appl. Math. 173, No. 1, 149-154 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C47 33C10 33C50 PDFBibTeX XMLCite \textit{G. Dattoli} et al., J. Comput. Appl. Math. 173, No. 1, 149--154 (2005; Zbl 1067.33010) Full Text: DOI
Bryc, Wlodzimierz; Matysiak, Wojciech; Szablowski, Paweł J. Probabilistic aspects of Al-Salam–Chihara polynomials. (English) Zbl 1074.33015 Proc. Am. Math. Soc. 133, No. 4, 1127-1134 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 15A15 42C05 PDFBibTeX XMLCite \textit{W. Bryc} et al., Proc. Am. Math. Soc. 133, No. 4, 1127--1134 (2005; Zbl 1074.33015) Full Text: DOI arXiv