Variations on an Error-sum Function for the Convergents of Some Powers of e
暂无分享,去创建一个
[1] It Informatics. On-Line Encyclopedia of Integer Sequences , 2010 .
[2] Thomas J. Osler. A Proof of the Continued Fraction Expansion of e1/M , 2006, Am. Math. Mon..
[3] J. N. Ridley,et al. The error-sum function of continued fractions , 2000 .
[4] K. Matthews,et al. Some properties of the continued fraction expansion of (m/n) e1/q , 1970, Mathematical Proceedings of the Cambridge Philosophical Society.
[5] Carsten Elsner,et al. Series of Error Terms for Rational Approximations of Irrational Numbers , 2011 .
[6] M. Lambert,et al. Mémoire Sur Quelques Propriétés Remarquables des Quantités Transcendentes Circulaires et Logarithmiques , 1997 .
[7] Takao Komatsu. DIOPHANTINE APPROXIMATIONS OF tanh, tan, AND LINEAR FORMS OF e IN TERMS OF INTEGRALS , 2009 .
[8] C. D. Olds. The Simple Continued Fraction Expansion of e , 1970 .
[9] Takao Komatsu. SOME EXACT ALGEBRAIC EXPRESSIONS FOR THE TAILS OF TASOEV CONTINUED FRACTIONS , 2012, Journal of the Australian Mathematical Society.
[10] Henry Cohn,et al. A Short Proof of the Simple Continued Fraction Expansion of e , 2006, Am. Math. Mon..
[11] Ali H. Chamseddine,et al. Massive supergravity from spontaneously breaking orthosymplectic gauge symmetry , 1978 .
[12] Carsten Elsner,et al. On the Value Distribution of Error Sums for Approximations With Rational Numbers , 2012, Integers.
[13] D. Owen. Handbook of Mathematical Functions with Formulas , 1965 .
[14] Gábor Hetyei. Hurwitzian Continued Fractions Containing a Repeated Constant and An Arithmetic Progression , 2014, SIAM J. Discret. Math..
[15] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[16] Charles Hermite,et al. Œuvres de Charles Hermite: Sur la fonction exponentielle , 1874 .
[17] James Mc Laughlin. Some new Families of Tasoevian- and Hurwitzian Continued Fractions , 2019 .
[18] Takao Komatsu,et al. A Diophantine Approximation of $e^{1/s}$ in Terms of Integrals , 2009 .
[19] Dinesh S. Thakur,et al. Patterns of Continued Fractions for the Analogues ofeand Related Numbers in the Function Field Case , 1997 .
[20] Carsten Elsner,et al. On Error Sums for Square Roots of Positive Integers with Applications to Lucas and Pell Numbers , 2014, J. Integer Seq..
[21] D N Lehmer. Arithmetical Theory of Certain Hurwitzian Continued Fractions. , 1918, Proceedings of the National Academy of Sciences of the United States of America.
[22] C. S. Davis. On some Simple Continued Fractions Connected with e , 1945 .
[23] Dinesh S. Thakur,et al. Continued fraction for the exponential forFq[T] , 1992 .
[24] Dinesh S. Thakur,et al. Exponential and Continued Fractions , 1996 .
[25] Carsten Elsner,et al. On Error Sum Functions Formed by Convergents of Real Numbers , 2011 .
[26] J. H. McCabe. On the Padé table for ex and the simple continued fractions for e and eL/M , 2009 .