In this section, we give a recurrence relation between the generalized Frobenius-Euler polynomials and the Hurwitz-Lerch zeta function.
Expression (11) corresponds to a difference equation, i.e., there is a recurrence relation between the terms in the form of (theta _{dB_{k}} = Tleft (theta _{dB_{k-1}} right)), being T(θ dB ) the recurrence function.
As shown in Fig. 1, a recurrence interval between the 1099 Kowa Nankai earthquake and 1361 Ko'an Nankai Trough earthquake is 262 years, which is almost twice as long as the average interval after the 1361 Nankai earthquakes.
From the distribution of the tsunami deposits and computed inundation area, the size (M = 8.3 to 8.4), location and fault models of the Jogan earthquake were proposed with a recurrence interval between 500 and 1000 years [71],[71].
There is a 29percentnt chance of a major event occurring every year in the Waipaoa catchment (Kelliher et al., 1995) but in the Uawa and Waiapu catchments to the north, erosion-generating storms and associated flooding have a recurrence interval between 2.6 years in the headwaters and 3.6 years near the coast (Hicks, 1995).
A total number of 8 males (no women) presented a recurrence, mainly between 2 and 6 months.
The test generates a recurrence score between 0 and 100 that correlates to the likelihood of disease recurrence within 10 years of diagnosis.
The FGFR3-TACC3 fusion gene, which has been reported in bladder [22] and lung cancers [23], has recently been identified in a subset of glioblastoma patients, yielding a recurrence rate between 0% and 5%[20]], [21].
In the present study, radius was set to 20%% of the maximum Chebychev distance in phase space, which corresponded roughly to a recurrence rate between 0.05 and 0.10 (cf., Riley et al., 1999) to reassure that the range of individual outcomes was not restricted in either direction for both experimental groups.
