elliptic integral
An inequality for generalized complete elliptic integral
... complete elliptic integral and showed a sharp bound for the generalized com- plete elliptic integral of the first kind in ...generalized elliptic integrals and generalized modular ...
6
The Novelty of Infinite Series for the Complete Elliptic Integral of the First Kind
... complete elliptic integral of the first kind for the modulus which having values approach to ...complete elliptic integral consists of the new infinite ...complete elliptic ...
15
Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean
... Yang, Z-H: Very accurate approximations for the elliptic integrals of the second kind in terms of Stolarksy means.. Yang, Z-H, Chu, Y-M, Zhang, W: Accurate approximation for the complete[r] ...
10
On approximating the modified Bessel function of the first kind and Toader Qi mean
... Chu, Y-M, Qiu, S-L, Wang, M-K: Sharp inequalities involving the power mean and complete elliptic integral of the first kind.. Hua, Y, Qi, F: The best possible bounds for Toader mean in te[r] ...
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Sharp bounds for Neuman means in terms of two parameter contraharmonic and arithmetic mean
... Yang, Z.-H., Qian, W.-M., Chu, Y.-M., Zhang, W.: On approximating the arithmetic–geometric mean and complete elliptic integral of the first kind.. Lin, L., Liu, Z.-Y.: An alternating proj[r] ...
13
Exact Solutions of Nonlinear Equation of Rod Deflections Involving the Lauricella Hypergeometric Functions
... to elliptic integrals, see A treatise on fluxions 1742, § 927 entitled “The construction of the elastic curve, and of other Figures, by the rectification of the conic ...through elliptic integrals of I and ...
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The refraction, shoaling and structure of non linear internal waves at a continental shelf margin
... Non-linear modal function of buoyancy b, for e to the Energy of solitary waves, see [6-19] complete elliptic integral of second kind Energy flux of solitary waves, see [6-4] Spectral ene[r] ...
281
Optimal bounds for the generalized Euler–Mascheroni constant
... Yang, Z.-H., Chu, Y.-M., Zhang, X.-H.: Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind.. Yang, Z.-H., Qian, W.-M., Chu, Y.-M., Zhang, W.: On approximati[r] ...
9
On approximating the quasi arithmetic mean
... Chu, Y.-M., Qiu, S.-L., Wang, M.-K.: Sharp inequalities involving the power mean and complete elliptic integral of the first kind.. Wang, G.-D., Zhang, X.-H., Chu, Y.-M.: A power mean ine[r] ...
12
Quadratic transformation inequalities for Gaussian hypergeometric function
... Chu, Y.-M., Qiu, S.-L., Wang, M.-K.: Sharp inequalities involving the power mean and complete elliptic integral of the first kind.. Chu, Y.-M., Qiu, Y.-F., Wang, M.-K.: Hölder mean inequa[r] ...
15
Monotonicity rule for the quotient of two functions and its application
... Yang, Z-H, Chu, Y-M, Zhang, X-H: Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind.. Yang, Z-H, Chu, Y-M, Tao, X-J: A double inequality for the trigamma f[r] ...
13
Integral points on the elliptic Curve $ E {pq}: y^2=x^3+(pq 12)x 2(pq 8)$
... an elliptic curve defined over ...of integral points on E is ...all integral points on elliptic ...largest integral points on the elliptic ...
10
Elliptic Curves
... Another extension of this paper might be to see how Andrew Wiles used elliptic curves to prove Fermat’s last theorem. His proof of the semistable modularity conjecture was key to the proof. An Overview of the ...
87
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ...
8
Elliptic and magneto-elliptic instabilities
... When background rotation is introduced, the same as had occurred to the elliptic instability en- sues. When this background rotation runs opposite to the rotation of the vortex (anti-cyclonic motion), a fluid ...
6
APPLICATION OF ELLIPTIC CURVES IN CRYPTOGRAPHY-A REVIEW
... reliable. Elliptic Curve Cryptography (ECC) is the major advancement in the field of cryptography providing faster and secure methods for ...in elliptic curves over finite ...of elliptic curves and ...
5
00095 90126 Integral Personal Computer Service Jan86 pdf
... the HP-IB interface, the power supply for the print head, and the control circuitry for the disc drive, display, and printer.. The power supply provides +5V,.[r] ...
204
82860 90001 IPC Technical BASIC Getting Started Dec84 pdf
... If you use a system editor you will store your file as an HP-UX ASCII text file then load it into BASIC program memory using the BASIC GET command.. If you use the BASIC editor you may s[r] ...
29
82860 90004 IPC Technical BASIC Implementation Guide Dec84 pdf
... Uploading Series 80 BASIC Files Introduction Hardware Requirements Limitations Preparation Microflexible Disc Types File Naming Conventions Series 80 Program Files Series 80 DATA, LIF an[r] ...
41
Multigrid Solution of an Elliptic Fredholm Partial Integro Differential Equation with a Hilbert Schmidt Integral Operator
... For the same experiments as in Table 4, we show large speed up in com- putational time in Table 5. Further, in Figure 1, we demonstrate that the compu- tational complexity of our multigrid procedure is ( M log M ) and ...
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