A definite integral is an integral (1) with upper and lower limits. If is restricted to lie on the real line, the definite integral is known as a Riemann integral (which is the usual definition encountered in elementary textbooks). However, a general definite integral is taken in the ...
Not a complete solution but maybe some progress for even indexed InIn. By expanding the denominator as a geometric series (as you did for I4I4), recognising the Wallis integral and using a root of unity filter on the resulting sum, we can find that I2n=π2n...
L. Mordell, The definite integral \( \int\limits_{{-\infty}}^{\infty } {\frac{{{e^{{a{x^2}}}^{+bx }}}{{{e^{ax }}+d}}} \) da ... L Mordell - 《Acta Mathematica》 被引量: 0发表: 1933年 Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects In this ...
L. Mordell, The definite integral \( \int\limits_{{-\infty}}^{\infty } {\frac{{{e^{{a{x^2}}}^{+bx }}}{{{e^{ax }}+d}}} \) da ... LJ Mordell - 《Acta Mathematica》 被引量: 25发表: 1933年 The definite integral $$intlimitssb {-infty}sp infty {tfrac{{esp {axsp ...
Details can be found in =-=[1]-=-. I became intrigued about George’s methods, which were based upon the following result. Theorem. Let a >−1 and let m be a natural number. Then the integral ∫∞ dx N(a; m) := 0 (x4 +2ax2 +1) m+1 is gi......
{2}+x-2|dx from -2 to 2 Homework Equations The integral of f(x) from a to b = F(b) - F(a) |x| = { x if x >= 0; -x if x < 0 --- Ok, I don't know how to do the definite integrals of absolute values.. was never shown an example of it in class, but I ...
We also give a lifting theorem of additively indecomposable positive definite integral lattices.Wang, RuiqingSchool of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, P. R. ChinaSpringer Berlin HeidelbergActa Mathematica Sinica, English Series...
In this context, we studied the relevant properties of the fractional derivatives that lead to such a definition. Finally, integrals on R2 R 2 and R3 R 3 are also proposed.关键词: fractional integralfractional derivativedefinite fractional integral ...
L. Mordell, The definite integral \( \int\limits_{{-\infty}}^{\infty } {\frac{{{e^{{a{x^2}}}^{+bx }}}{{{e^{ax }}+d}}} \) da ... LJ Mordell - 《Acta Mathematica》 被引量: 24发表: 1933年 The definite integral $$intlimitssb {-infty}sp infty {tfrac{{esp {axsp ...
In this paper, for any given natural numbers n and a, we can construct explicitly positive definite indecomposable integral Hermitian forms of rank n over Q(-3~(1/2)) with discriminant a, with the following ten exceptions: n=2, a=1,2,4, 10; n=3, a=1,2,5; n=4, a=1; n=5...