Baliarsingh, P.; Nayak, L.; Dutta, Hemen Some results on dynamics of fractional derivatives via difference sequences. (English) Zbl 1528.26007 Math. Methods Appl. Sci. 46, No. 7, 7714-7724 (2023). MSC: 26A33 33C60 40C05 PDFBibTeX XMLCite \textit{P. Baliarsingh} et al., Math. Methods Appl. Sci. 46, No. 7, 7714--7724 (2023; Zbl 1528.26007) Full Text: DOI
Baliarsingh, Pinakadhar On certain dynamic properties of difference sequences and the fractional derivatives. (English) Zbl 1480.40005 Math. Methods Appl. Sci. 44, No. 4, 3023-3035 (2021). MSC: 40C05 26A33 33E12 46A45 PDFBibTeX XMLCite \textit{P. Baliarsingh}, Math. Methods Appl. Sci. 44, No. 4, 3023--3035 (2021; Zbl 1480.40005) Full Text: DOI
Srivastava, Hari Mohan; Baliarsingh, Pinakadhar The Leibniz and chain rules for fractional derivatives. (English) Zbl 1485.26009 Appl. Anal. Optim. 3, No. 3, 343-357 (2019). MSC: 26A33 33C60 40C05 PDFBibTeX XMLCite \textit{H. M. Srivastava} and \textit{P. Baliarsingh}, Appl. Anal. Optim. 3, No. 3, 343--357 (2019; Zbl 1485.26009) Full Text: Link
Mathai, A. M.; Haubold, H. J. Fractional and multivariable calculus. Model building and optimization problems. (English) Zbl 1376.26001 Springer Optimization and Its Applications 122. Cham: Springer (ISBN 978-3-319-59992-2/hbk; 978-3-319-59993-9/ebook). xiii, 234 p. (2017). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26-02 26A33 15B57 60B20 62E15 33C60 40C05 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Fractional and multivariable calculus. Model building and optimization problems. Cham: Springer (2017; Zbl 1376.26001) Full Text: DOI
Mathai, A. M.; Haubold, H. J. Erdélyi-Kober fractional integral operators from a statistical perspective. I. (English) Zbl 1360.45011 Tbil. Math. J. 10, No. 1, 145-159 (2017). MSC: 45P05 26A33 62E15 40C05 33C60 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Tbil. Math. J. 10, No. 1, 145--159 (2017; Zbl 1360.45011) Full Text: DOI arXiv
Mathai, Arakaparampil M. M-convolutions of products and ratios, statistical distributions and fractional calculus. (English) Zbl 1391.44007 Analysis, München 36, No. 1, 15-26 (2016). MSC: 44A35 26A33 33C60 40C05 62E15 15B57 60B20 PDFBibTeX XMLCite \textit{A. M. Mathai}, Analysis, München 36, No. 1, 15--26 (2016; Zbl 1391.44007) Full Text: DOI
Mathai, A. M. Fractional derivatives for Kober operators and stastistical densities in the real matrix-variate cases. (English) Zbl 1502.47059 J. Fract. Calc. Appl. 6, No. 2, 65-77 (2015). MSC: 47E05 26A33 60B20 62E15 33C60 40C05 PDFBibTeX XMLCite \textit{A. M. Mathai}, J. Fract. Calc. Appl. 6, No. 2, 65--77 (2015; Zbl 1502.47059) Full Text: Link
Mathai, A. M. Fractional differential operators in the complex matrix-variate case. (English) Zbl 1312.15054 Linear Algebra Appl. 478, 200-217 (2015). MSC: 15B57 26A33 33C60 40C05 PDFBibTeX XMLCite \textit{A. M. Mathai}, Linear Algebra Appl. 478, 200--217 (2015; Zbl 1312.15054) Full Text: DOI
Chen, Shaoshi; Singer, Michael F. On the summability of bivariate rational functions. (English) Zbl 1301.33003 J. Algebra 409, 320-343 (2014). Reviewer: Cristinel Mortici (Târgovişte) MSC: 33B15 26C15 40C05 40B05 PDFBibTeX XMLCite \textit{S. Chen} and \textit{M. F. Singer}, J. Algebra 409, 320--343 (2014; Zbl 1301.33003) Full Text: DOI arXiv
Özarslan, M. Ali; Duman, Oktay; Srivastava, H. M. Statistical approximation results for Kantorovich-type operators involving some special polynomials. (English) Zbl 1145.40300 Math. Comput. Modelling 48, No. 3-4, 388-401 (2008). MSC: 40A05 33C90 40G99 41A35 60H25 62E20 PDFBibTeX XMLCite \textit{M. A. Özarslan} et al., Math. Comput. Modelling 48, No. 3--4, 388--401 (2008; Zbl 1145.40300) Full Text: DOI
Lal, Shyam; Nigam, Hare Krishna On matrix summability of Jacobi series. (English) Zbl 1163.40302 Ultra Sci. Phys. Sci. 18, No. 1(M), 99-108 (2006). MSC: 40C05 33C45 PDFBibTeX XMLCite \textit{S. Lal} and \textit{H. K. Nigam}, Ultra Sci. Phys. Sci. 18, No. 1 (M), 99--108 (2006; Zbl 1163.40302)
Tripathi, V. N.; Pandey, A. K. On uniform triangular matrix summability of Legendre. (Hindi. English summary) Zbl 1193.33054 Vijnana Parishad Anusandhan Patrika 48, No. 1, 23-35 (2005). MSC: 33C45 40C05 PDFBibTeX XMLCite \textit{V. N. Tripathi} and \textit{A. K. Pandey}, Vijnana Parishad Anusandhan Patrika 48, No. 1, 23--35 (2005; Zbl 1193.33054)
Lal, Shyam; Singh, Prem Narain On the study of Jacobi series by matrix summability method. (English) Zbl 1052.40008 Bull. Calcutta Math. Soc. 96, No. 5, 339-350 (2004). Reviewer: Marcel G. de Bruin (Delft) MSC: 40C05 40A30 33C45 41A58 PDFBibTeX XMLCite \textit{S. Lal} and \textit{P. N. Singh}, Bull. Calcutta Math. Soc. 96, No. 5, 339--350 (2004; Zbl 1052.40008)
Boychev, Georgi; Rusev, Peter Cesàro’s summability of series in Laguerre polynomials on the boundaries of their regions of convergence. (English) Zbl 1009.33011 Analysis, München 22, No. 1, 67-77 (2002). Reviewer: Ravi N.Kalia (St.Cloud) MSC: 33C45 40C05 PDFBibTeX XMLCite \textit{G. Boychev} and \textit{P. Rusev}, Analysis, München 22, No. 1, 67--77 (2002; Zbl 1009.33011) Full Text: DOI
Lal, Shyam On matrix summability of Jacobi series. (English) Zbl 0996.33003 Tamkang J. Math. 30, No. 3, 191-202 (1999). Reviewer: P.K.Banerji (Jodhpur) MSC: 33C45 40C05 40G05 PDFBibTeX XMLCite \textit{S. Lal}, Tamkang J. Math. 30, No. 3, 191--202 (1999; Zbl 0996.33003)
Schlosser, Michael Multidimensional matrix inversions and multiple basic hypergeometric series associated to root systems. (English) Zbl 0928.15001 Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. New Delhi: Allied Publishers Private Limited. 25-30 (1998). MSC: 15A09 33D67 40C05 PDFBibTeX XMLCite \textit{M. Schlosser}, in: Special functions and differential equations. Proceedings of a workshop, WSSF '97, Madras, India, January 13--24, 1997. New Delhi: Allied Publishers Private Limited. 25--30 (1998; Zbl 0928.15001)
Reimer, M. Radon-transform, Laplace-series and matrix-transform. (English) Zbl 0897.44001 Commun. Appl. Anal. 1, No. 3, 337-349 (1997). Reviewer: V.S.Kiryakova (Sofia) MSC: 44A12 65R10 40C05 92C55 33C55 PDFBibTeX XMLCite \textit{M. Reimer}, Commun. Appl. Anal. 1, No. 3, 337--349 (1997; Zbl 0897.44001)
Saxena, A. K. On matrix transform of a non convergent series of particular cases of ultraspherical expansion. (English) Zbl 0771.33011 Math. Educ. 26, No. 1, 44-50 (1992). Reviewer: T.Šalát (Bratislava) MSC: 33C55 40C05 PDFBibTeX XMLCite \textit{A. K. Saxena}, Math. Educ. 26, No. 1, 44--50 (1992; Zbl 0771.33011)
Van Assche, Walter Pollaczek polynomials and summability methods. (English) Zbl 0703.33007 J. Math. Anal. Appl. 147, No. 2, 498-505 (1990). Reviewer: W.Van Assche MSC: 33C45 42C05 40C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Math. Anal. Appl. 147, No. 2, 498--505 (1990; Zbl 0703.33007) Full Text: DOI
Khare, S. P.; Tripathi, V. K. Matrix summability of Jacobi series. (English) Zbl 0666.40002 Bull. Calcutta Math. Soc. 81, No. 1, 70-75 (1989). Reviewer: R.K.Raina MSC: 40C05 33C45 PDFBibTeX XMLCite \textit{S. P. Khare} and \textit{V. K. Tripathi}, Bull. Calcutta Math. Soc. 81, No. 1, 70--75 (1989; Zbl 0666.40002)
Tripathi, L. M.; Lal, S. On uniform triangular matrix summability of Legendre series. (Hindi. English summary) Zbl 1193.40002 Vijnana Parishad Anusandhan Patrika 28, No. 1, 17-26 (1985). MSC: 40C05 33C45 PDFBibTeX XMLCite \textit{L. M. Tripathi} and \textit{S. Lal}, Vijnana Parishad Anusandhan Patrika 28, No. 1, 17--26 (1985; Zbl 1193.40002)
Smith, A. C. One-parameter Jacobi transformations of sequences. (English) Zbl 0528.40004 Comput. Math. Appl. 9, 721-733 (1983). MSC: 40C05 40G99 40A30 33C45 PDFBibTeX XMLCite \textit{A. C. Smith}, Comput. Math. Appl. 9, 721--733 (1983; Zbl 0528.40004) Full Text: DOI
Jurkat, W. B.; Shawyer, B. L. R. Best approximations of alternating series. (English) Zbl 0516.40001 J. Approximation Theory 34, 397-422 (1982). MSC: 40A25 41A50 65B10 40C05 41A10 33C45 PDFBibTeX XMLCite \textit{W. B. Jurkat} and \textit{B. L. R. Shawyer}, J. Approx. Theory 34, 397--422 (1982; Zbl 0516.40001) Full Text: DOI
Yadav, Sarjoo Prasad Summability of Jacobi series with triangular matrices. (English) Zbl 0447.40003 J. Indian Math. Soc., New Ser. 41, 59-68 (1977). MSC: 40C05 33C45 42C15 PDFBibTeX XMLCite \textit{S. P. Yadav}, J. Indian Math. Soc., New Ser. 41, 59--68 (1977; Zbl 0447.40003)
Kal’nei, S. G. Uniform boundedness in the L-metric of polynomials with respect to the Jacobi polynomials. (English. Russian original) Zbl 0329.40004 Sov. Math., Dokl. 16, 714-718 (1975); translation from Dokl. Akad. Nauk SSSR 222, 1024-1027 (1975). MSC: 40C05 42C05 33C45 40G05 PDFBibTeX XMLCite \textit{S. G. Kal'nei}, Sov. Math., Dokl. 16, 714--718 (1975; Zbl 0329.40004); translation from Dokl. Akad. Nauk SSSR 222, 1024--1027 (1975)
Obrechkoff, Nikola Sur la sommation de la série ultraspherique par la méthode des moyennes arithmétiques. (French) Zbl 0014.40004 Rend. Circ. Mat. Palermo 59, 266-287 (1935). MSC: 33C55 40C05 PDFBibTeX XMLCite \textit{N. Obrechkoff}, Rend. Circ. Mat. Palermo 59, 266--287 (1935; Zbl 0014.40004) Full Text: DOI
Kogbetliantz, E. Sur la sommabilité \((C,\delta)\) de développements suivant les polynômes d’Hermite. (French) Zbl 0001.13701 C. R. Acad. Sci., Paris 192, 662-663 (1931). Reviewer: J. Karamata (Beograd) MSC: 40C05 33C45 PDFBibTeX XMLCite \textit{E. Kogbetliantz}, C. R. Acad. Sci., Paris 192, 662--663 (1931; Zbl 0001.13701)