Bao, Qi; Wang, Miao-Kun; Qiu, Song-Liang Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter. (English) Zbl 07662232 Math. Inequal. Appl. 25, No. 4, 1021-1045 (2022). MSC: 33E05 33C75 PDF BibTeX XML Cite \textit{Q. Bao} et al., Math. Inequal. Appl. 25, No. 4, 1021--1045 (2022; Zbl 07662232) Full Text: DOI arXiv
Qiu, Song-Liang; Ma, Xiao-Yan; Chu, Yu-Ming Transformation properties of hypergeometric functions and their applications. (English) Zbl 1514.33004 Comput. Methods Funct. Theory 22, No. 2, 323-366 (2022). MSC: 33C05 11F03 30C62 33F05 PDF BibTeX XML Cite \textit{S.-L. Qiu} et al., Comput. Methods Funct. Theory 22, No. 2, 323--366 (2022; Zbl 1514.33004) Full Text: DOI
Bao, Qi; Wang, Miao Kun; Zhang, Yu Ao One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters. (English) Zbl 1514.33003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 115, 10 p. (2022). MSC: 33C05 PDF BibTeX XML Cite \textit{Q. Bao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 115, 10 p. (2022; Zbl 1514.33003) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Hai, Guo-Jing; Chu, Yu-Ming Landen inequalities for Gaussian hypergeometric function. (English) Zbl 1501.33009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022). Reviewer: Vijay Yadav (Virar) MSC: 33E05 33C05 PDF BibTeX XML Cite \textit{T.-H. Zhao} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 53, 23 p. (2022; Zbl 1501.33009) Full Text: DOI
Qiu, Song-Liang; Ma, Xiao-Yan; Bao, Qi Monotonicity properties of generalized elliptic integrals with respect to the parameter. (English) Zbl 1447.33012 J. Math. Anal. Appl. 492, No. 2, Article ID 124469, 31 p. (2020). MSC: 33E05 PDF BibTeX XML Cite \textit{S.-L. Qiu} et al., J. Math. Anal. Appl. 492, No. 2, Article ID 124469, 31 p. (2020; Zbl 1447.33012) Full Text: DOI
Qiu, Song-Liang; Ma, Xiao-Yan; Chu, Yu-Ming Sharp Landen transformation inequalities for hypergeometric functions, with applications. (English) Zbl 1414.33006 J. Math. Anal. Appl. 474, No. 2, 1306-1337 (2019). Reviewer: Pierluigi Vellucci (Roma) MSC: 33C05 PDF BibTeX XML Cite \textit{S.-L. Qiu} et al., J. Math. Anal. Appl. 474, No. 2, 1306--1337 (2019; Zbl 1414.33006) Full Text: DOI
Zhao, Tie-Hong; Wang, Miao-Kun; Zhang, Wen; Chu, Yu-Ming Quadratic transformation inequalities for Gaussian hypergeometric function. (English) Zbl 1498.33007 J. Inequal. Appl. 2018, Paper No. 251, 15 p. (2018). MSC: 33C05 26D20 PDF BibTeX XML Cite \textit{T.-H. Zhao} et al., J. Inequal. Appl. 2018, Paper No. 251, 15 p. (2018; Zbl 1498.33007) Full Text: DOI
Wang, Miao-Kun; Chu, Yu-Ming; Song, Ying-Qing Asymptotical formulas for Gaussian and generalized hypergeometric functions. (English) Zbl 1410.33016 Appl. Math. Comput. 276, 44-60 (2016). MSC: 33C05 PDF BibTeX XML Cite \textit{M.-K. Wang} et al., Appl. Math. Comput. 276, 44--60 (2016; Zbl 1410.33016) Full Text: DOI
Yang, Zhen-Hang; Chu, Yu-Ming; Wang, Miao-Kun Monotonicity criterion for the quotient of power series with applications. (English) Zbl 1321.26019 J. Math. Anal. Appl. 428, No. 1, 587-604 (2015). MSC: 26A48 33C05 PDF BibTeX XML Cite \textit{Z.-H. Yang} et al., J. Math. Anal. Appl. 428, No. 1, 587--604 (2015; Zbl 1321.26019) Full Text: DOI
Anderson, Glen D.; Vuorinen, Matti; Zhang, Xiaohui Topics in special functions. III. (English) Zbl 1323.33001 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 297-345 (2014). MSC: 33-02 26D05 30C65 PDF BibTeX XML Cite \textit{G. D. Anderson} et al., in: Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer. 297--345 (2014; Zbl 1323.33001) Full Text: DOI arXiv
Song, Yingqing; Zhou, Peigui; Chu, Yuming Inequalities for the Gaussian hypergeometric function. (English) Zbl 1307.33002 Sci. China, Math. 57, No. 11, 2369-2380 (2014). MSC: 33C05 26D20 PDF BibTeX XML Cite \textit{Y. Song} et al., Sci. China, Math. 57, No. 11, 2369--2380 (2014; Zbl 1307.33002) Full Text: DOI
Kazi, Haseeb; Neuman, Edward Inequalities and bounds for elliptic integrals. (English) Zbl 1120.33020 J. Approximation Theory 146, No. 2, 212-226 (2007). Reviewer: José L. Lopez (Pamplona) MSC: 33E05 41A17 PDF BibTeX XML Cite \textit{H. Kazi} and \textit{E. Neuman}, J. Approx. Theory 146, No. 2, 212--226 (2007; Zbl 1120.33020) Full Text: DOI
Baricz, Árpád Functional inequalities involving special functions. II. (English) Zbl 1105.33008 J. Math. Anal. Appl. 327, No. 2, 1202-1213 (2007). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33C15 26D20 PDF BibTeX XML Cite \textit{Á. Baricz}, J. Math. Anal. Appl. 327, No. 2, 1202--1213 (2007; Zbl 1105.33008) Full Text: DOI
Baricz, Árpád Functional inequalities involving special functions. (English) Zbl 1091.33002 J. Math. Anal. Appl. 319, No. 2, 450-459 (2006). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33C15 26D20 PDF BibTeX XML Cite \textit{Á. Baricz}, J. Math. Anal. Appl. 319, No. 2, 450--459 (2006; Zbl 1091.33002) Full Text: DOI
Baricz, Árpád Landen-type inequality for Bessel functions. (English) Zbl 1104.33002 Comput. Methods Funct. Theory 5, No. 2, 373-379 (2005). Reviewer: Pedro José Miana (Zaragoza) MSC: 33C10 33C05 33C15 PDF BibTeX XML Cite \textit{Á. Baricz}, Comput. Methods Funct. Theory 5, No. 2, 373--379 (2005; Zbl 1104.33002) Full Text: DOI
Balasubramanian, R.; Ponnusamy, S. On Ramanujan asymptotic expansions and inequalities for hypergeometric functions. (English) Zbl 0946.33003 Proc. Indian Acad. Sci., Math. Sci. 108, No. 2, 95-108 (1998). Reviewer: Matti Vuorinen (Helsinki) MSC: 33C20 PDF BibTeX XML Cite \textit{R. Balasubramanian} and \textit{S. Ponnusamy}, Proc. Indian Acad. Sci., Math. Sci. 108, No. 2, 95--108 (1998; Zbl 0946.33003) Full Text: DOI
Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. Functional inequalities for the quotients of hypergeometric functions. (English) Zbl 0890.33004 J. Math. Anal. Appl. 218, No. 1, 256-268 (1998). Reviewer: D.M.Bressoud (St.Paul) MSC: 33C20 33E05 PDF BibTeX XML Cite \textit{R. Balasubramanian} et al., J. Math. Anal. Appl. 218, No. 1, 256--268 (1998; Zbl 0890.33004) Full Text: DOI
Anderson, G. D.; Qiu, S.-L.; Vuorinen, M. Precise estimates for differences of the Gaussian hypergeometric function. (English) Zbl 0885.33002 J. Math. Anal. Appl. 215, No. 1, 212-234 (1997). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 33C20 PDF BibTeX XML Cite \textit{G. D. Anderson} et al., J. Math. Anal. Appl. 215, No. 1, 212--234 (1997; Zbl 0885.33002) Full Text: DOI
Anderson, G. D.; Barnard, R. W.; Richards, K. C.; Vamanamurthy, M. K.; Vuorinen, M. Inequalities for zero-balanced hypergeometric functions. (English) Zbl 0826.33003 Trans. Am. Math. Soc. 347, No. 5, 1713-1723 (1995). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 33C05 33B15 26D07 PDF BibTeX XML Cite \textit{G. D. Anderson} et al., Trans. Am. Math. Soc. 347, No. 5, 1713--1723 (1995; Zbl 0826.33003) Full Text: DOI
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. Functional inequalities for the Teichmüller ring capacity. (English) Zbl 0831.30011 Isr. J. Math. 88, No. 1-3, 367-380 (1994). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 30C85 30C65 39B72 PDF BibTeX XML Cite \textit{G. D. Anderson} et al., Isr. J. Math. 88, No. 1--3, 367--380 (1994; Zbl 0831.30011) Full Text: DOI