Du, Peipei; Wang, Gendi Monotonicity, convexity, and inequalities for functions involving gamma function. (English) Zbl 07753911 J. Math. Inequal. 17, No. 3, 1027-1045 (2023). MSC: 26D07 33B15 PDFBibTeX XMLCite \textit{P. Du} and \textit{G. Wang}, J. Math. Inequal. 17, No. 3, 1027--1045 (2023; Zbl 07753911) Full Text: DOI arXiv
Qi, Feng; Lim, Dongkyu Increasing property and logarithmic convexity of functions involving Dirichlet lambda function. (English) Zbl 07734703 Demonstr. Math. 56, Article ID 20220243, 6 p. (2023). MSC: 11M41 11M06 26A48 26A51 33B10 33B15 44A10 PDFBibTeX XMLCite \textit{F. Qi} and \textit{D. Lim}, Demonstr. Math. 56, Article ID 20220243, 6 p. (2023; Zbl 07734703) Full Text: DOI
Mao, Zhong-Xuan; Tian, Jing-Feng Delta complete monotonicity and completely monotonic degree on time scales. (English) Zbl 1518.26020 Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 142, 23 p. (2023). MSC: 26E70 26A48 26B25 33B15 PDFBibTeX XMLCite \textit{Z.-X. Mao} and \textit{J.-F. Tian}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 142, 23 p. (2023; Zbl 1518.26020) Full Text: DOI
Batır, Necdet Logarithmic integrals with applications to BBP and Euler-type sums. (English) Zbl 07676029 Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 96, 35 p. (2023). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 11B83 11M35 33B15 26A36 PDFBibTeX XMLCite \textit{N. Batır}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 96, 35 p. (2023; Zbl 07676029) Full Text: DOI arXiv
Feulefack, Pierre Aime The logarithmic Schrödinger operator and associated Dirichlet problems. (English) Zbl 1498.60183 J. Math. Anal. Appl. 517, No. 2, Article ID 126656, 33 p. (2023). MSC: 60G65 45K05 47G10 45P05 33C10 PDFBibTeX XMLCite \textit{P. A. Feulefack}, J. Math. Anal. Appl. 517, No. 2, Article ID 126656, 33 p. (2023; Zbl 1498.60183) Full Text: DOI arXiv
Qi, Feng Two monotonic functions defined by two derivatives of a function involving trigamma function. (English) Zbl 07794376 TWMS J. Pure Appl. Math. 13, No. 1, 91-104 (2022). MSC: 26A48 26A51 26D07 33B15 44A10 PDFBibTeX XMLCite \textit{F. Qi}, TWMS J. Pure Appl. Math. 13, No. 1, 91--104 (2022; Zbl 07794376) Full Text: Link
Feng, Qi Necessary and sufficient conditions for a difference defined by four derivatives of a function containing trigamma function to be completely monotonic. (English) Zbl 1508.26011 Appl. Comput. Math. 21, No. 1, 61-70 (2022). MSC: 26A48 26D07 33B10 33B15 44A10 44A35 PDFBibTeX XMLCite \textit{Q. Feng}, Appl. Comput. Math. 21, No. 1, 61--70 (2022; Zbl 1508.26011) Full Text: Link
Lim, Dongkyu; Qi, Feng Increasing property and logarithmic convexity of two functions involving Dirichlet eta function. (English) Zbl 1502.11092 J. Math. Inequal. 16, No. 2, 463-469 (2022). MSC: 11M06 11F20 26A51 33B15 PDFBibTeX XMLCite \textit{D. Lim} and \textit{F. Qi}, J. Math. Inequal. 16, No. 2, 463--469 (2022; Zbl 1502.11092) Full Text: DOI
Qi, Feng Complete monotonicity for a new ratio of finitely many gamma functions. (English) Zbl 1524.33012 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 511-520 (2022). MSC: 33B15 26A48 26D07 44A10 PDFBibTeX XMLCite \textit{F. Qi}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 511--520 (2022; Zbl 1524.33012) Full Text: DOI
Raïssouli, Mustapha; Chergui, Mohamed On a new parameterized beta function. (English) Zbl 1511.33002 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 1, 132-139 (2022). MSC: 33B15 33B99 PDFBibTeX XMLCite \textit{M. Raïssouli} and \textit{M. Chergui}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, No. 1, 132--139 (2022; Zbl 1511.33002)
Languasco, Alessandro; Righi, Luca A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications. (English) Zbl 1469.11481 Math. Comput. 90, No. 332, 2899-2921 (2021). MSC: 11Y16 11Y60 33E20 PDFBibTeX XMLCite \textit{A. Languasco} and \textit{L. Righi}, Math. Comput. 90, No. 332, 2899--2921 (2021; Zbl 1469.11481) Full Text: DOI arXiv
Berg, Christian; Çetinkaya, Asena; Karp, Dmitrii Completely monotonic ratios of basic and ordinary gamma functions. (English) Zbl 1477.33001 Aequationes Math. 95, No. 3, 569-588 (2021). Reviewer: Małgorzata Michalska (Lublin) MSC: 33B15 26A48 33D05 PDFBibTeX XMLCite \textit{C. Berg} et al., Aequationes Math. 95, No. 3, 569--588 (2021; Zbl 1477.33001) Full Text: DOI arXiv
Qi, Feng; Li, Wen-Hui; Yu, Shu-Bin; Du, Xin-Yu; Guo, Bai-Ni A ratio of finitely many gamma functions and its properties with applications. (English) Zbl 1466.26009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 39, 14 p. (2021). MSC: 26A48 05A20 26A51 26D07 26D15 33B15 PDFBibTeX XMLCite \textit{F. Qi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 39, 14 p. (2021; Zbl 1466.26009) Full Text: DOI arXiv
Pinelis, Iosif Monotonicity properties of the gamma family of distributions. (English) Zbl 1461.62033 Stat. Probab. Lett. 171, Article ID 109027, 5 p. (2021). MSC: 62E15 26D15 33B20 60E15 PDFBibTeX XMLCite \textit{I. Pinelis}, Stat. Probab. Lett. 171, Article ID 109027, 5 p. (2021; Zbl 1461.62033) Full Text: DOI arXiv
Ansari, Alireza Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels. (English) Zbl 1464.33002 J. Comput. Appl. Math. 391, Article ID 113457, 6 p. (2021). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33B15 33E12 44A10 45P05 PDFBibTeX XMLCite \textit{A. Ansari}, J. Comput. Appl. Math. 391, Article ID 113457, 6 p. (2021; Zbl 1464.33002) Full Text: DOI
Reynolds, Robert; Stauffer, Allan Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function. (English) Zbl 1484.30042 AIMS Math. 5, No. 6, 7252-7258 (2020). MSC: 30D10 11M06 11M35 30D30 30E20 PDFBibTeX XMLCite \textit{R. Reynolds} and \textit{A. Stauffer}, AIMS Math. 5, No. 6, 7252--7258 (2020; Zbl 1484.30042) Full Text: DOI
Mahboobi, Mahdi; Ebadian, Ali; Najafzadeh, Shahram Generalized Volterra type integral operators on Bergman spaces with logarithmic weights. (English) Zbl 1505.47046 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 3, 177-184 (2019). MSC: 47G10 45D05 30H20 30D35 PDFBibTeX XMLCite \textit{M. Mahboobi} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 3, 177--184 (2019; Zbl 1505.47046)
Qi, Feng; Sooppy Nisar, Kottakkaran; Rahman, Gauhar Convexity and inequalities related to extended beta and confluent hypergeometric functions. (English) Zbl 1486.33002 AIMS Math. 4, No. 5, 1499-1507 (2019). MSC: 33B15 26A51 26D07 26D15 PDFBibTeX XMLCite \textit{F. Qi} et al., AIMS Math. 4, No. 5, 1499--1507 (2019; Zbl 1486.33002) Full Text: DOI
Qi, Feng; Liu, Ai-Qi Completely monotonic degrees for a difference between the logarithmic and psi functions. (English) Zbl 1482.26016 J. Comput. Appl. Math. 361, 366-371 (2019). MSC: 26A48 33B15 PDFBibTeX XMLCite \textit{F. Qi} and \textit{A.-Q. Liu}, J. Comput. Appl. Math. 361, 366--371 (2019; Zbl 1482.26016) Full Text: DOI HAL
Sooppy Nisar, Kottakkaran; Qi, Feng; Rahman, Gauhar; Mubeen, Shahid; Arshad, Muhammad Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric \(k\)-function. (English) Zbl 1498.26032 J. Inequal. Appl. 2018, Paper No. 135, 12 p. (2018). MSC: 26D07 26D15 33B15 33C15 33B20 33C05 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} et al., J. Inequal. Appl. 2018, Paper No. 135, 12 p. (2018; Zbl 1498.26032) Full Text: DOI
Qi, Feng; Cerone, Pietro Some properties of the Fuss-Catalan numbers. (English) Zbl 1425.05018 Mathematics 6, No. 12, Paper No. 277, 11 p. (2018). MSC: 05A19 05A99 11B75 11B83 26A48 33B15 PDFBibTeX XMLCite \textit{F. Qi} and \textit{P. Cerone}, Mathematics 6, No. 12, Paper No. 277, 11 p. (2018; Zbl 1425.05018) Full Text: DOI
Beghin, Luisa Fractional diffusion-type equations with exponential and logarithmic differential operators. (English) Zbl 1388.60091 Stochastic Processes Appl. 128, No. 7, 2427-2447 (2018). MSC: 60G52 34A08 33E12 26A33 PDFBibTeX XMLCite \textit{L. Beghin}, Stochastic Processes Appl. 128, No. 7, 2427--2447 (2018; Zbl 1388.60091) Full Text: DOI arXiv
Dutta, Ramya Evaluation of a cubic Euler sum. (English) Zbl 1424.33002 J. Class. Anal. 9, No. 2, 151-159 (2016). MSC: 33B15 11M06 40A05 PDFBibTeX XMLCite \textit{R. Dutta}, J. Class. Anal. 9, No. 2, 151--159 (2016; Zbl 1424.33002) Full Text: DOI
Pedersen, Henrik L.; Uchiyama, Mitsuru Inverses of operator convex functions. (English) Zbl 1411.47005 de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 363-370 (2016). MSC: 47A63 30D15 33B15 30E20 PDFBibTeX XMLCite \textit{H. L. Pedersen} and \textit{M. Uchiyama}, in: Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22--26, 2013. Basel: Birkhäuser/Springer. 363--370 (2016; Zbl 1411.47005) Full Text: DOI
Wang, Xiaojin The logarithmically completely monotonic property of a class of function. (Chinese. English summary) Zbl 1363.33006 Pure Appl. Math. 32, No. 3, 318-323 (2016). MSC: 33B15 26A48 PDFBibTeX XMLCite \textit{X. Wang}, Pure Appl. Math. 32, No. 3, 318--323 (2016; Zbl 1363.33006) Full Text: DOI
Ernst, Thomas Zur Theorie der \({\Gamma}_q\)-Funktion und der \(\Psi_q\)-Funktion. (German. English summary) Zbl 1350.33024 Adv. Stud. Contemp. Math., Kyungshang 26, No. 2, 307-321 (2016). MSC: 33D05 33E05 33D15 33F05 PDFBibTeX XMLCite \textit{T. Ernst}, Adv. Stud. Contemp. Math., Kyungshang 26, No. 2, 307--321 (2016; Zbl 1350.33024)
Garrappa, Roberto; Mainardi, Francesco On Volterra functions and Ramanujan integrals. (English) Zbl 1342.45001 Analysis, München 36, No. 2, 89-105 (2016). MSC: 45D05 45E05 33E20 33E50 33F05 65D20 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{F. Mainardi}, Analysis, München 36, No. 2, 89--105 (2016; Zbl 1342.45001) Full Text: DOI arXiv
Jacob, Niels; Evans, Kristian P. A course in analysis. Volume I: Introductory calculus, analysis of functions of one real variable. (English) Zbl 1327.26012 Hackensack, NJ: World Scientific (ISBN 978-981-4689-08-3/hbk; 978-981-4689-09-0/pbk). xxiii, 744 p. (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 26-01 26Axx PDFBibTeX XMLCite \textit{N. Jacob} and \textit{K. P. Evans}, A course in analysis. Volume I: Introductory calculus, analysis of functions of one real variable. Hackensack, NJ: World Scientific (2016; Zbl 1327.26012) Full Text: DOI
Zhao, Jiao-Lian A completely monotonic function relating to the \(q\)-trigamma function. (English) Zbl 1314.33015 J. Math. Inequal. 9, No. 1, 53-60 (2015). MSC: 33D05 26A48 PDFBibTeX XMLCite \textit{J.-L. Zhao}, J. Math. Inequal. 9, No. 1, 53--60 (2015; Zbl 1314.33015) Full Text: DOI Link
Blagouchine, Iaroslav V. Erratum to “A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations”. (English) Zbl 1381.11115 J. Number Theory 151, 276-277 (2015). MSC: 11Y60 11M35 11M06 PDFBibTeX XMLCite \textit{I. V. Blagouchine}, J. Number Theory 151, 276--277 (2015; Zbl 1381.11115) Full Text: DOI
Blagouchine, Iaroslav V. A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations. (English) Zbl 1381.11114 J. Number Theory 148, 537-592 (2015); erratum ibid. 151, 276-277 (2015). MSC: 11Y60 11M35 11M06 PDFBibTeX XMLCite \textit{I. V. Blagouchine}, J. Number Theory 148, 537--592 (2015; Zbl 1381.11114) Full Text: DOI arXiv
Singh, Rashmi; Gour, Kamini New finite integrals involving product of modified multivariable \(H\)-function. (English) Zbl 1488.33023 J. Ramanujan Soc. Math. Math. Sci. 3, No. 2, 93-101 (2014). MSC: 33C20 33C60 PDFBibTeX XMLCite \textit{R. Singh} and \textit{K. Gour}, J. Ramanujan Soc. Math. Math. Sci. 3, No. 2, 93--101 (2014; Zbl 1488.33023) Full Text: Link
Qi, Feng A completely monotonic function related to the \(q\)-trigamma function. (English) Zbl 1374.26022 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 76, No. 1, 107-114 (2014). MSC: 26A48 33D05 PDFBibTeX XMLCite \textit{F. Qi}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 76, No. 1, 107--114 (2014; Zbl 1374.26022)
Kalmykov, S. I.; Karp, D. B. Logarithmic concavity of series in gamma ratios. (English. Russian original) Zbl 1314.33001 Russ. Math. 58, No. 6, 63-68 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 6, 70-77 (2014). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33B15 26A51 PDFBibTeX XMLCite \textit{S. I. Kalmykov} and \textit{D. B. Karp}, Russ. Math. 58, No. 6, 63--68 (2014; Zbl 1314.33001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 6, 70--77 (2014) Full Text: DOI
Blagouchine, Iaroslav V. Rediscovery of Malmsten’s integrals, their evaluation by contour integration methods and some related results. (English) Zbl 1336.33041 Ramanujan J. 35, No. 1, 21-110 (2014); erratum and addendum ibid 42, No. 3, 777-781 (2017). Reviewer: Praveen Agarwal (Jaipur) MSC: 33E20 33B15 30D10 11M35 11M06 01A55 PDFBibTeX XMLCite \textit{I. V. Blagouchine}, Ramanujan J. 35, No. 1, 21--110 (2014; Zbl 1336.33041) Full Text: DOI
Kuo, Shyh-Rong; Chen, Jeng-Tzong; Lee, Jia-Wei; Chen, Yi-Wei Analytical derivation and numerical experiments of degenerate scales for regular \(N\)-gon domains in two-dimensional Laplace problems. (English) Zbl 1282.65162 Appl. Math. Comput. 219, No. 10, 5668-5683 (2013). MSC: 65N38 35J05 33B15 31A10 30C30 PDFBibTeX XMLCite \textit{S.-R. Kuo} et al., Appl. Math. Comput. 219, No. 10, 5668--5683 (2013; Zbl 1282.65162) Full Text: DOI
Neuman, Edward Inequalities and bounds for the incomplete gamma function. (English) Zbl 1275.33005 Result. Math. 63, No. 3-4, 1209-1214 (2013). MSC: 33B20 26D07 PDFBibTeX XMLCite \textit{E. Neuman}, Result. Math. 63, No. 3--4, 1209--1214 (2013; Zbl 1275.33005) Full Text: DOI
Agarwal, Praveen; Jain, Shilpi New integral formulas involving polynomials and Ī-function. (English) Zbl 1277.33014 J. Appl. Math. Stat. Inform. 8, No. 1, 79-88 (2012). MSC: 33C60 26A33 PDFBibTeX XMLCite \textit{P. Agarwal} and \textit{S. Jain}, J. Appl. Math. Stat. Inform. 8, No. 1, 79--88 (2012; Zbl 1277.33014) Full Text: DOI
Ziatdinov, Rushan; Yoshida, Norimasa; Kim, Tae-Wan Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions. (English) Zbl 1242.65037 Comput. Aided Geom. Des. 29, No. 2, 129-140 (2012). MSC: 65D17 33B20 33F05 65D20 PDFBibTeX XMLCite \textit{R. Ziatdinov} et al., Comput. Aided Geom. Des. 29, No. 2, 129--140 (2012; Zbl 1242.65037) Full Text: DOI
Coffey, Mark W. On representations and differences of Stieltjes coefficients, and other relations. (English) Zbl 1269.11087 Rocky Mt. J. Math. 41, No. 6, 1815-1846 (2011). MSC: 11M35 11M06 11Y60 PDFBibTeX XMLCite \textit{M. W. Coffey}, Rocky Mt. J. Math. 41, No. 6, 1815--1846 (2011; Zbl 1269.11087) Full Text: DOI arXiv
Agarwal, Praveen; Jain, Shilpi; Chand, Mehar On integrals involving product of \(H[x_1,\ldots x_r]\) and the generalized polynomials \(S_{n_1,\ldots n_r}^{m_1,\ldots m_r}[x]\). (English) Zbl 1231.33008 Int. Math. Forum 6, No. 9-12, 529-539 (2011). MSC: 33C45 33C60 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Int. Math. Forum 6, No. 9--12, 529--539 (2011; Zbl 1231.33008) Full Text: Link
Jung, Soon-Mo Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis. (English) Zbl 1221.39038 Springer Optimization and Its Applications 48. Berlin: Springer (ISBN 978-1-4419-9636-7/hbk; 978-1-4419-9637-4/ebook). xiii, 362 p. (2011). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B72 39-02 39B52 PDFBibTeX XMLCite \textit{S.-M. Jung}, Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis. Berlin: Springer (2011; Zbl 1221.39038) Full Text: DOI
Chiarellotto, B.; Tsuzuki, N. Log-growth filtration and Frobenius slope filtration of \(F\)-isocrystals at the generic and special points. (English) Zbl 1242.12006 Doc. Math. 16, 33-69 (2011). Reviewer: Liang Xiao (Chicago) MSC: 12H25 11S80 PDFBibTeX XMLCite \textit{B. Chiarellotto} and \textit{N. Tsuzuki}, Doc. Math. 16, 33--69 (2011; Zbl 1242.12006) Full Text: EMIS
Guo, Bai-Ni; Qi, Feng Properties and applications of a function involving exponential functions. (English) Zbl 1179.33001 Commun. Pure Appl. Anal. 8, No. 4, 1231-1249 (2009). MSC: 33B10 33B15 33D05 26A48 26A51 PDFBibTeX XMLCite \textit{B.-N. Guo} and \textit{F. Qi}, Commun. Pure Appl. Anal. 8, No. 4, 1231--1249 (2009; Zbl 1179.33001) Full Text: DOI
Chen, Donghui; Berenhaut, Kenneth S. Inequalities for \(3-\log\)-convex functions. (English) Zbl 1175.33001 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 4, Paper No. 97, 9 p. (2008). Reviewer: Mridula Garg (Jaipur) MSC: 33B15 PDFBibTeX XMLCite \textit{D. Chen} and \textit{K. S. Berenhaut}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 4, Paper No. 97, 9 p. (2008; Zbl 1175.33001) Full Text: EuDML EMIS
Glasser, M. Lawrence; Manna, Dante On the Laplace transform of the psi function. (English) Zbl 1165.33002 Amdeberhan, Tewodros (ed.) et al., Tapas in experimental mathematics. AMS special session on experimental mathematics, New Orleans, LA, USA, January 5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4317-8/pbk). Contemporary Mathematics 457, 205-214 (2008). Reviewer: C. L. Parihar (Indore) MSC: 33B15 44A20 33B30 PDFBibTeX XMLCite \textit{M. L. Glasser} and \textit{D. Manna}, Contemp. Math. 457, 205--214 (2008; Zbl 1165.33002)
Wu, Lingli; Chu, Yuming; Tang, Xiaomin Inequalities for the generalized logarithmic mean and psi functions. (English) Zbl 1159.33303 Int. J. Pure Appl. Math. 48, No. 1, 117-122 (2008). MSC: 33B15 PDFBibTeX XMLCite \textit{L. Wu} et al., Int. J. Pure Appl. Math. 48, No. 1, 117--122 (2008; Zbl 1159.33303)
Chu, Yuming; Zhang, Xiaoming; Tang, Xiaomin An elementary inequality for psi function. (English) Zbl 1172.33301 Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 3, 373-380 (2008). Reviewer: R. B. Paris (Dundee) MSC: 33B15 26D15 PDFBibTeX XMLCite \textit{Y. Chu} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 3, 373--380 (2008; Zbl 1172.33301)
Qi, Feng; Guo, Senlin; Chen, Shou-Xin A new upper bound in the second Kershaw’s double inequality and its generalizations. (English) Zbl 1149.26026 J. Comput. Appl. Math. 220, No. 1-2, 111-118 (2008). Reviewer: Juri M. Rappoport (Moskva) MSC: 26D07 26D20 33B15 PDFBibTeX XMLCite \textit{F. Qi} et al., J. Comput. Appl. Math. 220, No. 1--2, 111--118 (2008; Zbl 1149.26026) Full Text: DOI
Qi, Feng A new lower bound in the second Kershaw’s double inequality. (English) Zbl 1142.26020 J. Comput. Appl. Math. 214, No. 2, 610-616 (2008). MSC: 26D20 33B10 33B15 PDFBibTeX XMLCite \textit{F. Qi}, J. Comput. Appl. Math. 214, No. 2, 610--616 (2008; Zbl 1142.26020) Full Text: DOI
Oh, Jangheon A distribution on \(\mathbb Z_p\). (English) Zbl 1168.11323 Commun. Korean Math. Soc. 22, No. 3, 365-367 (2007). MSC: 11R23 11R18 11S80 PDFBibTeX XMLCite \textit{J. Oh}, Commun. Korean Math. Soc. 22, No. 3, 365--367 (2007; Zbl 1168.11323) Full Text: DOI
Guo, Baini; Qi, Feng Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity. (English) Zbl 1093.26019 Math. Inequal. Appl. 9, No. 1, 1-9 (2006). Reviewer: János Aczél (Waterloo/Ontario) MSC: 26D15 26A48 26A51 33B15 39B62 26E60 PDFBibTeX XMLCite \textit{B. Guo} and \textit{F. Qi}, Math. Inequal. Appl. 9, No. 1, 1--9 (2006; Zbl 1093.26019) Full Text: DOI
Kim, Taekyun; Adiga, C. On the \(q\)-analogue of gamma functions and related inequalities. (English) Zbl 1080.33014 JIPAM, J. Inequal. Pure Appl. Math. 6, No. 4, Paper No. 118, 4 p. (2005). Reviewer: Thomas Ernst (Uppsala) MSC: 33D05 33B15 26D20 PDFBibTeX XMLCite \textit{T. Kim} and \textit{C. Adiga}, JIPAM, J. Inequal. Pure Appl. Math. 6, No. 4, Paper No. 118, 4 p. (2005; Zbl 1080.33014) Full Text: arXiv EuDML
Nishimoto, Katsuyuki N-fractional calculus of the function \(\log(z-c)\) and beta functions. (English) Zbl 1056.26004 J. Fractional Calc. 24, 1-12 (2003). MSC: 26A33 33B15 PDFBibTeX XMLCite \textit{K. Nishimoto}, J. Fractional Calc. 24, 1--12 (2003; Zbl 1056.26004)
Elezović, N.; Pečarić, J. A note on Schur-convex functions. (English) Zbl 0978.26013 Rocky Mt. J. Math. 30, No. 3, 853-856 (2000). Reviewer: I.Raşa (Cluj-Napoca) MSC: 26D15 26A51 26E60 33B15 PDFBibTeX XMLCite \textit{N. Elezović} and \textit{J. Pečarić}, Rocky Mt. J. Math. 30, No. 3, 853--856 (2000; Zbl 0978.26013) Full Text: DOI Link
Allasia, G.; Giordano, C.; Pečarić, J. On the arithmetic and logarithmic means with applications to Stirling’s formula. (English) Zbl 0941.26015 Atti Semin. Mat. Fis. Univ. Modena 47, No. 2, 441-455 (1999). Reviewer: János Aczél (Waterloo/Ontario) MSC: 26E60 26D07 33B15 PDFBibTeX XMLCite \textit{G. Allasia} et al., Atti Semin. Mat. Fis. Univ. Modena 47, No. 2, 441--455 (1999; Zbl 0941.26015)
Apelblat, Alexander Application of the Laplace, Mellin and Stieltjes transformations in the evaluation of integrals. (English) Zbl 0911.44004 Bainov, D. (ed.), Proceedings of the 8th international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1997. Utrecht: VSP. 25-34 (1998). MSC: 44A20 33B15 44A10 44A15 PDFBibTeX XMLCite \textit{A. Apelblat}, in: Proceedings of the 8th international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1997. Utrecht: VSP. 25--34 (1998; Zbl 0911.44004)
Todor, Fabian On analytical functions applied to obtain optimal results in risk models. (Sur des fonctions analytiques appliquées pour obtenir des résultats optimaux dans les modèles du risque.) (French) Zbl 0914.62090 Stancu, Dimitrie D. (ed.) et al., Approximation and optimization. Proceedings of ICAOR: International conference, Cluj-Napoca, Romania, July 29–August 1, 1996. Volume II. Cluj-Napoca: Transilvania Press, 227-232 (1997). MSC: 62P05 91B30 PDFBibTeX XMLCite \textit{F. Todor}, in: Approximation and optimization. Proceedings of ICAOR: International conference, Cluj-Napoca, Romania, July 29--August 1, 1996. Volume II. Cluj-Napoca: Transilvania Press. 227--232 (1997; Zbl 0914.62090)
Adamchik, Victor On Stirling numbers and Euler sums. (English) Zbl 0877.39001 J. Comput. Appl. Math. 79, No. 1, 119-130 (1997). Reviewer: J.Aczél (Waterloo/Ontario) MSC: 11B73 11M41 33B15 PDFBibTeX XMLCite \textit{V. Adamchik}, J. Comput. Appl. Math. 79, No. 1, 119--130 (1997; Zbl 0877.39001) Full Text: DOI
Konishi, Eiichi Calculation of complex polygamma functions. (Japanese. English summary) Zbl 0861.33016 Sci. Rep. Hirosaki Univ. 43, No. 1, 161-183 (1996). Reviewer: Y.Kobayashi (Tottori) MSC: 33E20 PDFBibTeX XMLCite \textit{E. Konishi}, Sci. Rep. Hirosaki Univ. 43, No. 1, 161--183 (1996; Zbl 0861.33016)
Merkle, Milan Logarithmic convexity and inequalities for the gamma function. (English) Zbl 0860.33001 J. Math. Anal. Appl. 203, No. 2, 369-380 (1996). Reviewer: D.Kershaw (Lancaster) MSC: 33B15 PDFBibTeX XMLCite \textit{M. Merkle}, J. Math. Anal. Appl. 203, No. 2, 369--380 (1996; Zbl 0860.33001) Full Text: DOI Link
Veselý, Jiří Remarks to the history of the gamma function. (Czech) Zbl 1274.33002 Bečvář, Jindřich (ed.) et al., Člověk – umění – matematika. Prague: Prometheus (ISBN 80-7196-031-4). Děj. Mat. / Hist. Math. 4, 49-71 (1996). Reviewer: Antonín Slavík (Praha) MSC: 33-03 33B15 01A50 01A55 01A60 PDFBibTeX XMLCite \textit{J. Veselý}, Děj. Mat. / Hist. Math. 4, 49--71 (1996; Zbl 1274.33002) Full Text: Link
Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M. Certain operators of fractional calculus and their applications associated with logarithmic and Digamma functions. (English) Zbl 0881.26001 J. Fractional Calc. 10, 67-73 (1996). Reviewer: H.M.Srivastava (Victoria) MSC: 26A33 33B15 30B40 PDFBibTeX XMLCite \textit{S.-T. Tu} et al., J. Fractional Calc. 10, 67--73 (1996; Zbl 0881.26001)
Ahern, Patrick; Rudin, Walter Geometric properties of the gamma function. (English) Zbl 0872.33002 Am. Math. Mon. 103, No. 8, 678-681 (1996). Reviewer: J.Aczel (Waterloo/Ontario) MSC: 33B15 26A51 39B32 PDFBibTeX XMLCite \textit{P. Ahern} and \textit{W. Rudin}, Am. Math. Mon. 103, No. 8, 678--681 (1996; Zbl 0872.33002) Full Text: DOI
Lozier, D. W.; Olver, F. W. J. Numerical evaluation of special functions. (English) Zbl 0815.65030 Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 79-125 (1994). MSC: 65D20 33-04 65-02 33-00 PDFBibTeX XMLCite \textit{D. W. Lozier} and \textit{F. W. J. Olver}, Proc. Symp. Appl. Math. 48, 79--125 (1994; Zbl 0815.65030)
Chung, Ki-Soo; Chung, Won-Sang; Nam, Sang-Tack; Kang, Hye-Jung New \(q\)-derivative and \(q\)-logarithm. (English) Zbl 0867.33010 Int. J. Theor. Phys. 33, No. 10, 2019-2029 (1994). MSC: 33D05 39A10 81R05 PDFBibTeX XMLCite \textit{K.-S. Chung} et al., Int. J. Theor. Phys. 33, No. 10, 2019--2029 (1994; Zbl 0867.33010) Full Text: DOI
Saxena, R. K.; Ram, Jeta Some results of generalized hypergeometric functions with applications. (English) Zbl 0753.33003 J. Indian Acad. Math. 14, No. 1, 53-59 (1992). Reviewer: H.Exton (Dunrossness) MSC: 33C20 33C90 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{J. Ram}, J. Indian Acad. Math. 14, No. 1, 53--59 (1992; Zbl 0753.33003)
Escassut, Alain; Sarmant, Marie-Claude The \(p\)-adic differential equation \(y'=\omega{} y\) in the closed unit disk. (English) Zbl 0739.12005 Collect. Math. 41, No. 2, 165-174 (1990). Reviewer: G.Christol (Paris) MSC: 12H25 30G06 11S80 46S10 PDFBibTeX XMLCite \textit{A. Escassut} and \textit{M.-C. Sarmant}, Collect. Math. 41, No. 2, 165--174 (1990; Zbl 0739.12005) Full Text: EuDML
Ricciardi, N.; Sacchetti, D. Inverse distributions: An approach based on generalized functions. (Italian. English summary) Zbl 0761.60011 Metron 48, No. 1-4, 243-254 (1990). MSC: 60E05 PDFBibTeX XMLCite \textit{N. Ricciardi} and \textit{D. Sacchetti}, Metron 48, No. 1--4, 243--254 (1990; Zbl 0761.60011)
Gupta, A. K.; Nagar, D. K. Asymptotic nonnull distribution of likelihood ratio statistic for testing homogeneity of complex multivariate Gaussian populations. (English) Zbl 0726.62021 J. Stat. Comput. Simulation 31, No. 2, 83-91 (1989). MSC: 62E20 62H10 62H15 33C15 PDFBibTeX XMLCite \textit{A. K. Gupta} and \textit{D. K. Nagar}, J. Stat. Comput. Simulation 31, No. 2, 83--91 (1989; Zbl 0726.62021) Full Text: DOI
Milne, R. K.; Yeo, G. F. Random sum characterizations. (English) Zbl 0692.60010 Math. Sci. 14, No. 2, 120-126 (1989). Reviewer: C.Klüppelberg MSC: 60E05 60E10 60G55 PDFBibTeX XMLCite \textit{R. K. Milne} and \textit{G. F. Yeo}, Math. Sci. 14, No. 2, 120--126 (1989; Zbl 0692.60010)
Pittenger, A. O. Limit theorems for logarithmic means. (English) Zbl 0618.26015 J. Math. Anal. Appl. 123, 281-291 (1987). Reviewer: J.Aczél MSC: 26D15 26A15 26A51 33B15 60E05 60F15 PDFBibTeX XMLCite \textit{A. O. Pittenger}, J. Math. Anal. Appl. 123, 281--291 (1987; Zbl 0618.26015) Full Text: DOI
Kölbig, K. S. Erratum: On the integral \(\int ^{\infty}_{0}x^{\nu -1}(1+\beta x)^{-\lambda}\,\ln ^ mx\,dx\). (English) Zbl 0621.65011 J. Comput. Appl. Math. 15, 267 (1986). Reviewer: L.Gatteschi MSC: 65D20 33B15 33E99 PDFBibTeX XMLCite \textit{K. S. Kölbig}, J. Comput. Appl. Math. 15, 267 (1986; Zbl 0621.65011) Full Text: DOI
Kölbig, K. S. On the integral \(\int ^{\infty}_{0}x^{\nu -1}(1+\beta x)^{- \lambda}\,\ln ^ mx\,dx\). (English) Zbl 0591.65015 J. Comput. Appl. Math. 14, 319-344 (1986). Reviewer: L.Gatteschi MSC: 65D20 33E99 33B15 PDFBibTeX XMLCite \textit{K. S. Kölbig}, J. Comput. Appl. Math. 14, 319--344 (1986; Zbl 0591.65015) Full Text: DOI
Boxall, John L. p-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups. (English) Zbl 0587.12007 Ann. Inst. Fourier 36, No. 3, 1-27 (1986). MSC: 11S80 14L05 11S40 PDFBibTeX XMLCite \textit{J. L. Boxall}, Ann. Inst. Fourier 36, No. 3, 1--27 (1986; Zbl 0587.12007) Full Text: DOI Numdam EuDML
Găvruta, P. A characterization of the gamma function. (English) Zbl 0626.39002 Lucr. Semin. Mat. Fiz. 1985, No. 2, 54-56 (1985). Reviewer: J.Aczél MSC: 39A10 33B15 26A51 PDFBibTeX XMLCite \textit{P. Găvruta}, Lucr. Semin. Mat. Fiz. 1985, No. 2, 54--56 (1985; Zbl 0626.39002)
Boxall, J. L. p-adic interpolation of logarithmic derivatives and \(\mathfrak p\)-adic L-functions associated to elliptic curves with complex multiplication. (Interpolation p-adique des dérivées logarithmiques et fonctions L \({\mathfrak p}\)-adiques associées à courbes elliptiques à multiplication complexe.) (French) Zbl 0626.12014 Sémin. Théor. Nombres, Univ. Bordeaux I 1984-1985, Exp. No. 19, 14 p. (1985). MSC: 11S80 11S40 14K22 14G20 14H52 PDFBibTeX XML Full Text: EuDML
Kapur, J. N. Logarithmic convexity of beta and gamma functions. (English) Zbl 0614.33003 J. Natl. Acad. Math. India 3, 67-77 (1985). Reviewer: E.Xekalaki MSC: 33B15 PDFBibTeX XMLCite \textit{J. N. Kapur}, J. Natl. Acad. Math. India 3, 67--77 (1985; Zbl 0614.33003)
Kölbig, K. S. Some problems involving special functions arising from physics at CERN. (English) Zbl 0599.33001 Rend. Sem. Mat., Torino, Fasc. Spec., Special functions: theory and computation, Int. Conf., Turin 1984, 187-214 (1985). MSC: 33-06 33B15 33C10 33C45 33E99 11B39 65D20 PDFBibTeX XML
Fettis, Henry E. Further extensions of a Legendre function integral. (English) Zbl 0579.33004 Math. Comput. 45, 549-552 (1985). Reviewer: N.K.Thakare MSC: 33C55 33C45 33C60 33C05 33B15 PDFBibTeX XMLCite \textit{H. E. Fettis}, Math. Comput. 45, 549--552 (1985; Zbl 0579.33004) Full Text: DOI
Cherry, G. W.; Caviness, B. F. Integration in finite terms with special functions: a progress report. (English) Zbl 0553.12013 EUROSAM 84, Symbolic and algebraic computation, Proc. int. Symp., Cambridge/Engl. 1984, Lect. Notes Comput. Sci. 174, 351-358 (1984). Reviewer: Michael F. Singer (Raleigh) MSC: 12H05 68W30 12F99 33B20 PDFBibTeX XML
Koelbig, K. S. On the integral \(\int \log^ n \cos x \log^ p \sin x dx\). (English) Zbl 0521.33003 Math. Comput. 40, 565-570 (1983). MSC: 33B15 33B10 33E99 11M06 PDFBibTeX XMLCite \textit{K. S. Koelbig}, Math. Comput. 40, 565--570 (1983; Zbl 0521.33003) Full Text: DOI
Xu, Bei A note on the logarithmic potential. (Chinese) Zbl 0511.31001 J. Math. Res. Expo. 1982, No. 3, 83-86 (1982). MSC: 31A15 33B10 33B15 PDFBibTeX XMLCite \textit{B. Xu}, J. Math. Res. Expo. 1982, No. 3, 83--86 (1982; Zbl 0511.31001)
Adolphson, A.; Dwork, B.; Sperber, S. Growth of solutions of linear differential equations at a logarithmic singularity. (English) Zbl 0502.12017 Trans. Am. Math. Soc. 271, 245-252 (1982). MSC: 11S80 12H25 PDFBibTeX XMLCite \textit{A. Adolphson} et al., Trans. Am. Math. Soc. 271, 245--252 (1982; Zbl 0502.12017) Full Text: DOI
Rao, B. Raja On an inequality satisfied by the gamma function and its logarithmic derivatives. (English) Zbl 0502.62025 Metron 39, No. 3-4, 125-131 (1981). MSC: 62F10 33B15 62E99 62F99 62G99 62G05 PDFBibTeX XMLCite \textit{B. R. Rao}, Metron 39, No. 3--4, 125--131 (1981; Zbl 0502.62025)
Lamzina, T. B. Sizes of the deviations of entire curves. (English) Zbl 0436.30028 Ukr. Math. J. 31, 442-443 (1980). MSC: 30D35 PDFBibTeX XMLCite \textit{T. B. Lamzina}, Ukr. Math. J. 31, 442--443 (1980; Zbl 0436.30028) Full Text: DOI
Lamzina, T. B. Über die Werte der Abweichungen ganzer Kurven. (Russian) Zbl 0428.30018 Ukr. Mat. Zh. 31, 558-559 (1979). MSC: 30D35 PDFBibTeX XMLCite \textit{T. B. Lamzina}, Ukr. Mat. Zh. 31, 558--559 (1979; Zbl 0428.30018) Full Text: DOI
Bundschuh, Peter Two remarks on transcendental numbers. (Zwei Bemerkungen über transzendente Zahlen.) (German) Zbl 0401.10042 Monatsh. Math. 88, 293-304 (1979). Reviewer: Peter Bundschuh (Köln) MSC: 11J91 11J86 11J81 33B15 PDFBibTeX XMLCite \textit{P. Bundschuh}, Monatsh. Math. 88, 293--304 (1979; Zbl 0401.10042) Full Text: DOI EuDML
Ross, Bertram The psi function. (English) Zbl 0398.33002 Math. Mag. 51, 176-179 (1978). MSC: 33B15 PDFBibTeX XMLCite \textit{B. Ross}, Math. Mag. 51, 176--179 (1978; Zbl 0398.33002) Full Text: DOI
Valenti, Santi Risultati recenti sull’equazione di Artin generalizzata. (Italian) Zbl 0413.39002 Rend. Circ. Mat. Palermo, II. Ser. 26, 126-130 (1977). MSC: 39B12 33B15 30D05 46H30 47A62 PDFBibTeX XMLCite \textit{S. Valenti}, Rend. Circ. Mat. Palermo (2) 26, 126--130 (1977; Zbl 0413.39002) Full Text: DOI
Dinghas, Alexander Zur Definition der Gammafunktion durch die Eulersche Funktionalgleichung. (German) Zbl 0436.33001 An. Stiint. Univ. Al. I. Cuza Iasi, N. Ser., Sect. Ia 19, 31-35 (1973). MSC: 33B15 PDFBibTeX XML
Lerch, M. On the differentiation of trigonometric series. (Sur la différentiation des séries trigonométriques.) (French) JFM 25.0673.02 C. R. CXIX, 725-728 (1894). Reviewer: Weltzien, Prof. (Zehlendorf) MSC: 33B15 PDFBibTeX XMLCite \textit{M. Lerch}, C. R. Acad. Sci., Paris 119, 725--728 (1894; JFM 25.0673.02) Full Text: Gallica