Say you are able to extract the identifiers with one identifier/line (perhaps in a file). I am just using the echo to generate the list:

$ echo -e "A0QTF8\nA0QTG1\nA0QU63"
A0QTF8
A0QTG1
A0QU63

Then you can use the following one-liner to get the sequences:

$ echo -e "A0QTF8\nA0QTG1\nA0QU63" | while read l; do echo -e ">"$l"\n"$(curl -s http://www.uniprot.org/uniprot/$l.txt | awk '/SQ/,/\/\//{if ($0!~/^\/\// && $0!~/^SQ/) {gsub(" ","",$0); printf $0}}'); done
>A0QTF8
MDLINGMGTSPGYWRTPREPGNDHRRARLDVMAQRIVITGAGGMVGRVLADQAAAKGHTVLALTSSQCDITDEDAVRRFVANGDVVINCAAYTQVDKAEDEPERAHAVNAVGPGNLAKACAAVDAGLIHISTDYVFGAVDRDTPYEVDDETGPVNIYGRTKLAGEQAVLAAKPDAYVVRTAWVYRGGDGSDFVATMRRLAAGDGAIDVVADQVGSPTYTGDLVGALLQIVDGGVEPGILHAANAGVASRFDQARATFEAVGADPERVRPCGSDRHPRPAPRPSYTVLSSQRSAQAGLTPLRDWREALQDAVAAVVGATTDGPLPSTP
>A0QTG1
MSAAANAEHGAADRVEILPVPGLPEFRPGDDLVGSLAEAAPWLRDGDVLVVTSKVVSKCEGRIVAAPSDPEERDTLRRKLIDDEAVRVLARKGRTLITENAIGLVQAAAGVDGSNVGSTELALLPVDPDRSAATLREGLRERLGVTVGVVITDTMGRAWRTGQTDFAIGASGLTVLQGYAGSRDRHGNELVVTEVAVADEIAAAADLVKGKLTAIPVAVVRGLRLPDDGSTAHRLVRAGEDDLFWLGTAEAIELGRRQAQLLRRSVRRFSAEPVPHDAIEAAVGEALTAPAPHHTRPVRFVWVQDSETRTRLLDRMKEQWRADLTADGLDADAVDRRVARGQILYDAPELVIPFLVPDGAHSYPDDARTAAEHTMFTVAVGAAVQGLLVALAVRDIGSCWIGSTIFAADLVRAELELPDDWEPLGAIAIGYPEQTPQPLGPRDPVPTDELLVRK
>A0QU63
MTKKSASSNNKVVATNRKARHNYTILDTYEAGIVLMGTEVKSLREGQASLADAFATVDDGEIWLRNVHIAEYHHGTWTNHAPRRNRKLLLHRKQIDNLIGKIRDGNLTLVPLSIYFTDGKVKVELALARGKQAHDKRQDLARRDAQREVIRELGRRAKGKI

Best Wishes,
Umer

Step 1: Gene a track from the UCSC table browser, which contains the following for the hg19 genome:

chromosome
txStart (transcription start)
txEnd (transcription end)
gene name

Step 2:

With that data in hand, and with a local copy of the hg19 reference genome, use samtools faidx along with the chromosome, start, and end positions to get the FASTA sequence for each gene. By simply launching a separate samtools process for each gene and capturing the output, you can programmatically build a FASTA containing all of the gene sequences

If you need clarification or coding help for any of these steps, just let me know what specific questions you have.

This python snippet, using BioPython, will pull the sequence record in genbank format from NCBI using an input file containing a list of accession numbers.

import sys
from Bio import Entrez
from Bio import SeqIO

Entrez.email = #put your email address here

input_list = sys.argv[1]

with open(input_list, "r") as f:
        idlist = [line.strip() for line in f]

handle = Entrez.efetch(db="nucleotide", rettype="gb", retmode="text",id=idlist, email=Entrez.email)

seq_rec_list = []
for seq_record in SeqIO.parse(handle, "gb"):
    seq_rec_list.append(seq_record)

out_handle = open("output.fasta", "w")
SeqIO.write(seq_rec_list, out_handle, "fasta")
out_handle.close()