Hassani, Mehdi Global numerical bounds for the number-theoretic omega functions. (English) Zbl 07792661 Mediterr. J. Math. 20, No. 6, Paper No. 319, 17 p. (2023). MSC: 11A25 11N56 11N05 11A41 26D20 PDFBibTeX XMLCite \textit{M. Hassani}, Mediterr. J. Math. 20, No. 6, Paper No. 319, 17 p. (2023; Zbl 07792661) Full Text: DOI arXiv
Hassani, Mehdi; Nishizawa, Yusuke Some inequalities related to the power exponential function \(a^{rb}+b^{ra}\). (English) Zbl 07780932 Appl. Math. E-Notes 23, 237-242 (2023). MSC: 26D07 26D10 26D20 PDFBibTeX XMLCite \textit{M. Hassani} and \textit{Y. Nishizawa}, Appl. Math. E-Notes 23, 237--242 (2023; Zbl 07780932) Full Text: Link
Hassani, Mehdi; Moshtagh, Hossein; Ghorbani, Mohammad Some results on derangement polynomials. (English) Zbl 1524.05003 Commentat. Math. Univ. Carol. 63, No. 3, 307-313 (2022). MSC: 05A05 05A16 11B83 26A06 PDFBibTeX XMLCite \textit{M. Hassani} et al., Commentat. Math. Univ. Carol. 63, No. 3, 307--313 (2022; Zbl 1524.05003) Full Text: DOI
Emamyari, Soheila; Hassani, Mehdi On the maximum value of a multi-variable function. (English) Zbl 1504.26022 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 273-280 (2022). Reviewer: Mihály Bessenyei (Debrecen) MSC: 26B25 PDFBibTeX XMLCite \textit{S. Emamyari} and \textit{M. Hassani}, Springer Optim. Appl. 180, 273--280 (2022; Zbl 1504.26022) Full Text: DOI
Hassani, Mehdi; Rahmani, Vahid On a determinant involving the volume of the unit ball in \(\mathbb{R}^n\). (English) Zbl 1502.26017 Integral Transforms Spec. Funct. 33, No. 7, 591-596 (2022). MSC: 26D07 15A15 15B05 33B15 PDFBibTeX XMLCite \textit{M. Hassani} and \textit{V. Rahmani}, Integral Transforms Spec. Funct. 33, No. 7, 591--596 (2022; Zbl 1502.26017) Full Text: DOI
Axler, Christian; Hassani, Mehdi Carleman’s inequality over prime numbers. (English) Zbl 1477.11165 Integers 21, Paper A53, 12 p. (2021). Reviewer: Pieter Moree (Bonn) MSC: 11N05 26D15 26E60 PDFBibTeX XMLCite \textit{C. Axler} and \textit{M. Hassani}, Integers 21, Paper A53, 12 p. (2021; Zbl 1477.11165) Full Text: Link
Hassani, Mehdi On a sequence refining Carleman’s inequality. (English) Zbl 1462.26024 Appl. Math. E-Notes 20, 336-340 (2020). MSC: 26D15 11B65 05A10 PDFBibTeX XMLCite \textit{M. Hassani}, Appl. Math. E-Notes 20, 336--340 (2020; Zbl 1462.26024) Full Text: Link
Hassani, Mehdi Derangements and alternating sum of permutations by integration. (English) Zbl 1448.05002 J. Integer Seq. 23, No. 7, Article 20.7.8, 9 p. (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A05 05A16 11B73 26A06 PDFBibTeX XMLCite \textit{M. Hassani}, J. Integer Seq. 23, No. 7, Article 20.7.8, 9 p. (2020; Zbl 1448.05002) Full Text: Link
Hassani, M. On the means of the values of prime counting function. (English) Zbl 1468.11190 Iran. J. Math. Sci. Inform. 13, No. 1, 15-22 (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N05 26E60 PDFBibTeX XMLCite \textit{M. Hassani}, Iran. J. Math. Sci. Inform. 13, No. 1, 15--22 (2018; Zbl 1468.11190) Full Text: Link
Hassani, Mehdi On the difference of the number-theoretic omega functions. (English) Zbl 1418.11010 J. Comb. Number Theory 8, No. 2, 165-178 (2016). MSC: 11A25 11N56 11N05 26D20 PDFBibTeX XMLCite \textit{M. Hassani}, J. Comb. Number Theory 8, No. 2, 165--178 (2016; Zbl 1418.11010)
Hassani, Mehdi On the arithmetic-geometric means of positive integers and the number \(e\). (English) Zbl 1321.26060 Appl. Math. E-Notes 14, 250-255 (2014). MSC: 26E60 26D15 05A10 PDFBibTeX XMLCite \textit{M. Hassani}, Appl. Math. E-Notes 14, 250--255 (2014; Zbl 1321.26060) Full Text: EMIS
Hassani, Mehdi On the arithmetic-geometric mean inequality. (English) Zbl 1290.26040 Tamkang J. Math. 44, No. 4, 453-456 (2013). MSC: 26E60 26D15 PDFBibTeX XMLCite \textit{M. Hassani}, Tamkang J. Math. 44, No. 4, 453--456 (2013; Zbl 1290.26040) Full Text: DOI Link
Hassani, M.; Moshtagh, H. A remark on a sum involving the prime counting function. (English) Zbl 1265.11012 Appl. Anal. Discrete Math. 2, No. 1, 51-55 (2008). MSC: 11A41 26D15 40A25 PDFBibTeX XMLCite \textit{M. Hassani} and \textit{H. Moshtagh}, Appl. Anal. Discrete Math. 2, No. 1, 51--55 (2008; Zbl 1265.11012) Full Text: DOI
Hoorfar, Abdolhossein; Hassani, Mehdi Inequalities on the Lambert \(W\) function and hyperpower function. (English) Zbl 1163.33326 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 2, Paper No. 51, 5 p. (2008). MSC: 33E20 26D07 PDFBibTeX XMLCite \textit{A. Hoorfar} and \textit{M. Hassani}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 2, Paper No. 51, 5 p. (2008; Zbl 1163.33326) Full Text: EuDML EMIS
Hassani, Mehdi Approximation of the dilogarithm function. (English) Zbl 1160.33004 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 25, 3 p. (2007). MSC: 33B30 26A48 33E20 PDFBibTeX XMLCite \textit{M. Hassani}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 1, Paper No. 25, 3 p. (2007; Zbl 1160.33004) Full Text: EuDML EMIS
Rooin, Jamal; Hassani, Mehdi Some new inequalities between important means and applications to Ky Fan-type inequalities. (English) Zbl 1123.26019 Math. Inequal. Appl. 10, No. 3, 517-527 (2007). Reviewer: Zsolt Páles (Debrecen) MSC: 26D15 26A06 39B62 PDFBibTeX XMLCite \textit{J. Rooin} and \textit{M. Hassani}, Math. Inequal. Appl. 10, No. 3, 517--527 (2007; Zbl 1123.26019) Full Text: DOI arXiv
Hassani, Mehdi Approximation of \(\pi(x)\) by \(\Psi(x)\). (English) Zbl 1137.11009 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 7, 7 p. (2006). Reviewer: Krassimir Atanassov (Sofia) MSC: 11A41 11N05 26D15 33B15 PDFBibTeX XMLCite \textit{M. Hassani}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 7, 7 p. (2006; Zbl 1137.11009) Full Text: EuDML EMIS
Hassani, Mehdi On the decomposition of \(n!\) into primes. arXiv:math/0606316 Preprint, arXiv:math/0606316 [math.NT] (2006). MSC: 05A10 11A41 26D15 26D20 BibTeX Cite \textit{M. Hassani}, ``On the decomposition of $n!$ into primes'', Preprint, arXiv:math/0606316 [math.NT] (2006) Full Text: arXiv
Hassani, Mehdi Counting and Computing by \(e\). arXiv:math/0606613 Preprint, arXiv:math/0606613 [math.CO] (2006). MSC: 40A25 05C17 05C38 65L99 33B20 33C20 26D15 11J72 20B40 BibTeX Cite \textit{M. Hassani}, ``Counting and Computing by $e$'', Preprint, arXiv:math/0606613 [math.CO] (2006) Full Text: arXiv