Hashemzadeh Kalvari, Arman; Ansari, Alireza; Askari, Hassan Generalization of the Ramanujan’s integrals for the Volterra \(\mu\)-functions via complex contours: representations and approximations. (English) Zbl 07788059 Integral Transforms Spec. Funct. 35, No. 1, 33-48 (2024). MSC: 41A60 44A10 45D05 PDFBibTeX XMLCite \textit{A. Hashemzadeh Kalvari} et al., Integral Transforms Spec. Funct. 35, No. 1, 33--48 (2024; Zbl 07788059) Full Text: DOI
Paneva-Konovska, Jordanka; Deif, Sarah A. On some relations in the class of multi-index Mittag-Leffler functions. (English) Zbl 07765878 Integral Transforms Spec. Funct. 34, No. 12, 965-982 (2023). Reviewer: Roberto Garra (Roma) MSC: 33E12 30A10 30D15 30E15 41A60 PDFBibTeX XMLCite \textit{J. Paneva-Konovska} and \textit{S. A. Deif}, Integral Transforms Spec. Funct. 34, No. 12, 965--982 (2023; Zbl 07765878) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester New series expansions for the \(\mathcal{H}\)-function of communication theory. (English) Zbl 07765873 Integral Transforms Spec. Funct. 34, No. 12, 879-890 (2023). MSC: 33E20 41A58 41A80 94A99 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 34, No. 12, 879--890 (2023; Zbl 07765873) Full Text: DOI OA License
Yakubovich, S. Upper bounds and asymptotic expansion for Macdonald’s function and the summability of the Kontorovich-Lebedev integrals. (English) Zbl 07726277 Integral Transforms Spec. Funct. 34, No. 10, 721-736 (2023). Reviewer: D. L. Suthar (Dessie) MSC: 44A15 41A60 33C10 33C15 PDFBibTeX XMLCite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 34, No. 10, 721--736 (2023; Zbl 07726277) Full Text: DOI arXiv
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester A convergent version of Watson’s lemma for double integrals. (English) Zbl 1521.44001 Integral Transforms Spec. Funct. 34, No. 3, 196-210 (2023). MSC: 44A10 41A60 41A58 33F99 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 34, No. 3, 196--210 (2023; Zbl 1521.44001) Full Text: DOI
Gil, A.; Segura, J.; Temme, N. M. A new asymptotic representation and inversion method for the Student’s \(t\) distribution. (English) Zbl 07566915 Integral Transforms Spec. Funct. 33, No. 8, 597-608 (2022). MSC: 65-XX 33B20 41A60 65D20 PDFBibTeX XMLCite \textit{A. Gil} et al., Integral Transforms Spec. Funct. 33, No. 8, 597--608 (2022; Zbl 07566915) Full Text: DOI arXiv
Gorenflo, Norbert A new addition theorem for cylinder functions. (English) Zbl 1515.33004 Integral Transforms Spec. Funct. 33, No. 6, 485-495 (2022). MSC: 33C10 41A58 41A60 PDFBibTeX XMLCite \textit{N. Gorenflo}, Integral Transforms Spec. Funct. 33, No. 6, 485--495 (2022; Zbl 1515.33004) Full Text: DOI
Gorenflo, Norbert The Fourier transform of a function related to cylinder functions and asymptotic expansions with logarithmic terms. (English) Zbl 1485.42007 Integral Transforms Spec. Funct. 33, No. 2, 127-140 (2022). Reviewer: Shiv K. Kaushik (Delhi) MSC: 42A38 33C10 34A25 34E05 PDFBibTeX XMLCite \textit{N. Gorenflo}, Integral Transforms Spec. Funct. 33, No. 2, 127--140 (2022; Zbl 1485.42007) Full Text: DOI
Temme, Nico M. Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters. (English) Zbl 1500.41010 Integral Transforms Spec. Funct. 33, No. 1, 16-31 (2022). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C15 PDFBibTeX XMLCite \textit{N. M. Temme}, Integral Transforms Spec. Funct. 33, No. 1, 16--31 (2022; Zbl 1500.41010) Full Text: DOI arXiv
Boulsane, Mourad Non-asymptotic behavior and the distribution of the spectrum of the finite Hankel transform operator. (English) Zbl 1479.42072 Integral Transforms Spec. Funct. 32, No. 12, 948-968 (2021). MSC: 42C10 41A60 PDFBibTeX XMLCite \textit{M. Boulsane}, Integral Transforms Spec. Funct. 32, No. 12, 948--968 (2021; Zbl 1479.42072) Full Text: DOI arXiv
López, José L.; Pagola, Pedro J. Series expansions of multi-dimensional Mellin convolution integrals. (English) Zbl 1305.41032 Integral Transforms Spec. Funct. 25, No. 11, 888-897 (2014). Reviewer: Naokant Deo (Delhi) MSC: 41A60 30B40 46F10 PDFBibTeX XMLCite \textit{J. L. López} and \textit{P. J. Pagola}, Integral Transforms Spec. Funct. 25, No. 11, 888--897 (2014; Zbl 1305.41032) Full Text: DOI
Ferreira, Chelo; López, J. L.; Sinusía, Ester Pérez Computation of Mellin convolution integrals with a logarithmic kernel: application to the third Appell function. (English) Zbl 1298.41045 Integral Transforms Spec. Funct. 25, No. 8, 612-626 (2014). Reviewer: Naokant Deo (Delhi) MSC: 41A60 30B40 46F10 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 25, No. 8, 612--626 (2014; Zbl 1298.41045) Full Text: DOI
Burić, Tomislav; Elezović, Neven; Vukšić, Lenka Asymptotic expansions of the gamma function and Wallis function through polygamma functions. (English) Zbl 1286.33004 Integral Transforms Spec. Funct. 25, No. 2, 163-172 (2014). Reviewer: Richard B. Paris (Dundee) MSC: 33B15 41A60 PDFBibTeX XMLCite \textit{T. Burić} et al., Integral Transforms Spec. Funct. 25, No. 2, 163--172 (2014; Zbl 1286.33004) Full Text: DOI
Snyder, Martin Avery A new set of polynomials, related to the Bernoulli numbers, which display a finite Stokes phenomenon. (English) Zbl 1396.33042 Integral Transforms Spec. Funct. 25, No. 2, 124-133 (2014). MSC: 33E30 41A60 34M40 PDFBibTeX XMLCite \textit{M. A. Snyder}, Integral Transforms Spec. Funct. 25, No. 2, 124--133 (2014; Zbl 1396.33042) Full Text: DOI
López, José L.; Pagola, Pedro; Sinusía, Ester Pérez Asymptotics of the first Appell function \(F_1\) with large parameters. II. (English) Zbl 1282.33022 Integral Transforms Spec. Funct. 24, No. 12, 982-999 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C65 41A60 PDFBibTeX XMLCite \textit{J. L. López} et al., Integral Transforms Spec. Funct. 24, No. 12, 982--999 (2013; Zbl 1282.33022) Full Text: DOI
Feng, Lei; Wang, Weiping A continued product approximation for the gamma function. (English) Zbl 1282.33003 Integral Transforms Spec. Funct. 24, No. 10, 831-839 (2013). Reviewer: Richard B. Paris (Dundee) MSC: 33B15 41A60 PDFBibTeX XMLCite \textit{L. Feng} and \textit{W. Wang}, Integral Transforms Spec. Funct. 24, No. 10, 831--839 (2013; Zbl 1282.33003) Full Text: DOI
López, José L.; Pagola, Pedro; Sinusía, Ester Pérez Asymptotics of the first Appell function \(F_1\) with large parameters. (English) Zbl 1280.33013 Integral Transforms Spec. Funct. 24, No. 9, 715-733 (2013). Reviewer: A. M. Mathai (Montreal) MSC: 33C65 41A60 PDFBibTeX XMLCite \textit{J. L. López} et al., Integral Transforms Spec. Funct. 24, No. 9, 715--733 (2013; Zbl 1280.33013) Full Text: DOI
Nemes, Gergö Generalization of Binet’s gamma function formulas. (English) Zbl 1281.33003 Integral Transforms Spec. Funct. 24, No. 8, 597-606 (2013). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 41A60 PDFBibTeX XMLCite \textit{G. Nemes}, Integral Transforms Spec. Funct. 24, No. 8, 597--606 (2013; Zbl 1281.33003) Full Text: DOI
Johansen, Troels Roussau Non-integrable multipliers for the Jacobi transform. (English) Zbl 1274.44009 Integral Transforms Spec. Funct. 24, No. 6, 425-440 (2013). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A35 20N20 33C05 34E05 42A45 PDFBibTeX XMLCite \textit{T. R. Johansen}, Integral Transforms Spec. Funct. 24, No. 6, 425--440 (2013; Zbl 1274.44009) Full Text: DOI arXiv
Mortici, Cristinel Some completely monotonic functions relating to the gamma function. (English) Zbl 1254.30048 Integral Transforms Spec. Funct. 23, No. 7, 473-479 (2012). MSC: 30E15 26D07 41A60 41A25 57Q55 PDFBibTeX XMLCite \textit{C. Mortici}, Integral Transforms Spec. Funct. 23, No. 7, 473--479 (2012; Zbl 1254.30048) Full Text: DOI
Thompson, Ian A note on the real zeros of the incomplete gamma function. (English) Zbl 1248.33007 Integral Transforms Spec. Funct. 23, No. 6, 445-453 (2012). Reviewer: Richard B. Paris (Dundee) MSC: 33B20 41A60 PDFBibTeX XMLCite \textit{I. Thompson}, Integral Transforms Spec. Funct. 23, No. 6, 445--453 (2012; Zbl 1248.33007) Full Text: DOI
Gerhold, Stefan Asymptotics for a variant of the Mittag-Leffler function. (English) Zbl 1257.33050 Integral Transforms Spec. Funct. 23, No. 6, 397-403 (2012). Reviewer: Allal Ghanmi (Rabat) MSC: 33E12 41A60 PDFBibTeX XMLCite \textit{S. Gerhold}, Integral Transforms Spec. Funct. 23, No. 6, 397--403 (2012; Zbl 1257.33050) Full Text: DOI arXiv
Burić, Tomislav; Elezović, Neven New asymptotic expansions of the quotient of gamma functions. (English) Zbl 1247.33003 Integral Transforms Spec. Funct. 23, No. 5, 355-368 (2012). Reviewer: Yuri A. Farkov (Moscow) MSC: 33B15 41A60 11B68 PDFBibTeX XMLCite \textit{T. Burić} and \textit{N. Elezović}, Integral Transforms Spec. Funct. 23, No. 5, 355--368 (2012; Zbl 1247.33003) Full Text: DOI
Mortici, Cristinel The best rational remainders in the Stirling formula. (English) Zbl 1243.40005 Integral Transforms Spec. Funct. 23, No. 1, 13-19 (2012). Reviewer: Antonio López-Carmona (Granada) MSC: 40A25 41A25 41A60 PDFBibTeX XMLCite \textit{C. Mortici}, Integral Transforms Spec. Funct. 23, No. 1, 13--19 (2012; Zbl 1243.40005) Full Text: DOI
Yakubovich, Semyon B. Asymptotic and summation formulas related to the Lebedev integrals. (English) Zbl 1145.44003 Integral Transforms Spec. Funct. 19, No. 4, 293-304 (2008). Reviewer: S. L. Kalla (Kuwait) MSC: 44A15 41A60 33C10 PDFBibTeX XMLCite \textit{S. B. Yakubovich}, Integral Transforms Spec. Funct. 19, No. 4, 293--304 (2008; Zbl 1145.44003) Full Text: DOI
Rossi, Paul S. Asymptotic expansion of a class of one-dimensional Fourier integrals. (English) Zbl 1221.41017 Integral Transforms Spec. Funct. 18, No. 7, 495-502 (2007). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 41A80 42A38 42A85 PDFBibTeX XMLCite \textit{P. S. Rossi}, Integral Transforms Spec. Funct. 18, No. 7, 495--502 (2007; Zbl 1221.41017) Full Text: DOI
Ferreira, Chelo; López, José L. Symmetric standard elliptic integrals with two or three large parameters. (English) Zbl 1094.33015 Integral Transforms Spec. Funct. 17, No. 6, 433-442 (2006). Reviewer: F. Pérez Acosta MSC: 33E05 41A60 PDFBibTeX XMLCite \textit{C. Ferreira} and \textit{J. L. López}, Integral Transforms Spec. Funct. 17, No. 6, 433--442 (2006; Zbl 1094.33015) Full Text: DOI
Brauchart, Johann S. About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case. (English) Zbl 1100.41018 Integral Transforms Spec. Funct. 17, No. 5, 321-328 (2006). Reviewer: James V. Whittaker (Vancouver) MSC: 41A60 31B10 41A25 PDFBibTeX XMLCite \textit{J. S. Brauchart}, Integral Transforms Spec. Funct. 17, No. 5, 321--328 (2006; Zbl 1100.41018) Full Text: DOI
Vasil’ev, Yu. V. On asymptotic expansion of generalized Whittaker transform. (English) Zbl 1078.44003 Integral Transforms Spec. Funct. 16, No. 5-6, 499-503 (2005). Reviewer: Semyon Yakubovich (Porto) MSC: 44A15 PDFBibTeX XMLCite \textit{Yu. V. Vasil'ev}, Integral Transforms Spec. Funct. 16, No. 5--6, 499--503 (2005; Zbl 1078.44003) Full Text: DOI
Gromak, Elena V.; Kilbas, Anatoly A. Asymptotic expansions of \(\mathcal Y_{\eta}\) transform. (English) Zbl 1078.44001 Integral Transforms Spec. Funct. 16, No. 5-6, 407-414 (2005). Reviewer: Semyon Yakubovich (Porto) MSC: 44A15 PDFBibTeX XMLCite \textit{E. V. Gromak} and \textit{A. A. Kilbas}, Integral Transforms Spec. Funct. 16, No. 5--6, 407--414 (2005; Zbl 1078.44001) Full Text: DOI
Li, Chen Kuan An approach for distributional products on \(\mathbb{R}^m\). (English) Zbl 1087.46028 Integral Transforms Spec. Funct. 16, No. 2, 139-151 (2005). Reviewer: Amnuay Kananthai (Chiangmai) MSC: 46F10 41A60 46F12 PDFBibTeX XMLCite \textit{C. K. Li}, Integral Transforms Spec. Funct. 16, No. 2, 139--151 (2005; Zbl 1087.46028) Full Text: DOI
Campos, L. M. B. C. On the derivation of asymptotic expansions for special functions from the corresponding differential equations. (English) Zbl 1029.33001 Integral Transforms Spec. Funct. 12, No. 3, 227-236 (2001). Reviewer: N.Hayek (La Laguna) MSC: 33C10 34B30 PDFBibTeX XMLCite \textit{L. M. B. C. Campos}, Integral Transforms Spec. Funct. 12, No. 3, 227--236 (2001; Zbl 1029.33001) Full Text: DOI
Campos, L. M. B. C. On the extended hypergeometric equation and functions of arbitrary degree. (English) Zbl 1034.33003 Integral Transforms Spec. Funct. 11, No. 3, 233-256 (2001). MSC: 33C05 34M35 33E30 34B30 PDFBibTeX XMLCite \textit{L. M. B. C. Campos}, Integral Transforms Spec. Funct. 11, No. 3, 233--256 (2001; Zbl 1034.33003) Full Text: DOI
Carvalho e Silva, J.; Srivastava, H. M. Asymptotic representations for a class of multiple hypergeoemtric functions with a dominant variable. (English) Zbl 0987.33006 Integral Transforms Spec. Funct. 11, No. 2, 137-150 (2001). Reviewer: Per W.Karlsson (Lyngby) MSC: 33C70 33C20 41A60 PDFBibTeX XMLCite \textit{J. Carvalho e Silva} and \textit{H. M. Srivastava}, Integral Transforms Spec. Funct. 11, No. 2, 137--150 (2001; Zbl 0987.33006) Full Text: DOI
Campos, L. M. B. C. On singularities and solutions of the extended hypergeometric differential equation. (English) Zbl 0962.33009 Integral Transforms Spec. Funct. 9, No. 2, 99-120 (2000). Reviewer: J.Saurer (Regensburg) MSC: 33C99 33C05 33E10 30B30 34A30 34B30 34E05 PDFBibTeX XMLCite \textit{L. M. B. C. Campos}, Integral Transforms Spec. Funct. 9, No. 2, 99--120 (2000; Zbl 0962.33009) Full Text: DOI
López, José L.; Sesma, Javier Asymptotic expansion of the incomplete beta function for large values of the first parameter. (English) Zbl 0977.33002 Integral Transforms Spec. Funct. 8, No. 3-4, 233-236 (1999). Reviewer: Matthew He (Ft.Lauderdale) MSC: 33B20 41A60 PDFBibTeX XMLCite \textit{J. L. López} and \textit{J. Sesma}, Integral Transforms Spec. Funct. 8, No. 3--4, 233--236 (1999; Zbl 0977.33002) Full Text: DOI
Kanwal, Ram P. Delta series solutions of differential and integral equations. (English) Zbl 0904.34046 Integral Transforms Spec. Funct. 6, No. 1-4, 49-62 (1998). MSC: 34E20 45E10 41A60 46F10 PDFBibTeX XMLCite \textit{R. P. Kanwal}, Integral Transforms Spec. Funct. 6, No. 1--4, 49--62 (1998; Zbl 0904.34046) Full Text: DOI
Wong, R.; Zhang, J.-M. The asymptotics of a second solution to the Jacobi differential equation. (English) Zbl 0898.33003 Integral Transforms Spec. Funct. 5, No. 3-4, 287-308 (1997). Reviewer: H.Stahl (Berlin) MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{R. Wong} and \textit{J. M. Zhang}, Integral Transforms Spec. Funct. 5, No. 3--4, 287--308 (1997; Zbl 0898.33003) Full Text: DOI
Babich, V. M.; Cherednichenko, K. D. On Fock’s type asymptotics of Legendre functions. (English) Zbl 0874.33010 Integral Transforms Spec. Funct. 5, No. 1-2, 1-18 (1997). MSC: 33C55 PDFBibTeX XMLCite \textit{V. M. Babich} and \textit{K. D. Cherednichenko}, Integral Transforms Spec. Funct. 5, No. 1--2, 1--18 (1997; Zbl 0874.33010) Full Text: DOI
Pathak, R. S.; Pandey, P. K. Asymptotic behavior of the convolution transform. (English) Zbl 0824.44009 Integral Transforms Spec. Funct. 1, No. 3, 197-206 (1993). MSC: 44A35 44A15 46F12 41A60 PDFBibTeX XMLCite \textit{R. S. Pathak} and \textit{P. K. Pandey}, Integral Transforms Spec. Funct. 1, No. 3, 197--206 (1993; Zbl 0824.44009) Full Text: DOI